Fractions - ISEE Middle Level Quantitative Reasoning

Card 0 of 3045

Question

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

Compare your answer with the correct one above

Question

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

Answer

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Compare your answer with the correct one above

Question

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

Answer

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

Compare your answer with the correct one above

Question

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

Answer

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Compare your answer with the correct one above

Question

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

Answer

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Compare your answer with the correct one above

Question

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

Answer

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$\frac{1}{7} = 1 \div 7 = 0.142857 ...$

$\frac{3}{20} = 3 \div 20 = 0.15$

$\frac{7}{50} = 7 \div 50 = 0.14$

From the decimal equivalents, the fractions can be arranged as follows:

$\left \{ \frac{7}{50}, \frac{1}{7}, \frac{3}{20} \right \}$

Compare your answer with the correct one above

Question

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Answer

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator.

$- \frac{3}{4} = -3 \div 4 = -0.75$

$-\frac{7}{9} = -7 \div 9 = -0.777...$

$-\frac{8}{11} = -8 \div 11 = -0.7272...$

To arrange negative numbers from least to greatest, we must arrange them so that their absolute values (values without the negative symbol) go from greatest to least. In descending order, the absolute values are

$\left \{ 0.777..., 0.75, 0.7272... \right \}$ ,

so, in ascending order, the numbers themselves are

$\left \{ - 0.777..., -0.75, -0.7272... \right \}$ ,

or, in their fractional equivalents,

$\left \{-\frac{7}{9}, - \frac{3}{4}, -\frac{8}{11} \right \}$ .

Compare your answer with the correct one above

Question

Find the decimal equivalent of 95%.

Answer

Divide: $95\div 100=.95$

Answer:

Compare your answer with the correct one above

Question

Find the decimal equivalent of 33%.

Answer

Divide: $33\div 100=.33$

Answer: .33

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Question

Find the decimal equivalent of 58%.

Answer

Divide:

$58\div 100=.58$

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Question

Subtract:

$\frac{17}{63}-\frac{11}{63}=$

Answer

To solve, subtract the numerators and leave the denominators the same:

$\frac{17}{63}-\frac{11}{63}=\frac{6}{63}$

Answer: $\frac{6}{63}$

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Question

One euro is worth approximately $1.27. For how many euros (nearest whole) can an American tourist expect to exchange $1,000?

Answer

One Euro is equivalent to $1.27, so divide the number of dollars by this conversion factor. $1,000 is equivalent to

$1,000 \div 1.27\approx 787$ euros

Compare your answer with the correct one above

Tap the card to reveal the answer

Fractions - ISEE Middle Level Quantitative Reasoning

Arrange these numbers from least to greatest:

Arrange these numbers from least to greatest:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator. From the decimal equivalents, the fractions can be arranged as follows:

Arrange these numbers from least to greatest:

How many of the following four numbers are elements of the set (A) (B) (C) (D)

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set (A) (B) (C) (D)

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Arrange these numbers from least to greatest:

How many of the following four numbers are elements of the set (A) (B) (C) (D)

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set (A) (B) (C) (D)

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set (A) (B) (C) (D)

and , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Arrange these numbers from least to greatest:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator. From the decimal equivalents, the fractions can be arranged as follows:

Arrange these numbers from least to greatest:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator. From the decimal equivalents, the fractions can be arranged as follows:

Arrange these numbers from least to greatest:

Arrange these numbers from least to greatest:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator. From the decimal equivalents, the fractions can be arranged as follows:

Arrange these numbers from least to greatest:

Rewrite all three numbers as their decimal equivalents by dividing numerator by denominator. From the decimal equivalents, the fractions can be arranged as follows:

Arrange these numbers from least to greatest:

Find the decimal equivalent of 95%.

Divide: Answer:

Find the decimal equivalent of 33%.

Divide: Answer: .33

Find the decimal equivalent of 58%.

Divide:

Subtract:

To solve, subtract the numerators and leave the denominators the same: Answer:

One euro is worth approximately $1.27. For how many euros (nearest whole) can an American tourist expect to exchange $1,000?

One Euro is equivalent to $1.27, so divide the number of dollars by this conversion factor. $1,000 is equivalent to euros

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

How many of the following four numbers are elements of the set

$A = \left \{ x ; | ; \frac{1}{2}< x < \frac{2}{3}\right \} ?$

(A)

(B)

(C)

(D)

$\frac{1}{2} = 1\div 2 = 0.5$ and $\frac{2}{3} = 2 \div 3= 0.666...$ , so we choose the numbers that fall between these two. Of the four choices, only 0.67 is not between these two numbers. The correct response is "three".

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Arrange these numbers from least to greatest:

$\left \{ \frac{1}{7}, \frac{3}{20}, \frac{7}{50} \right \}$

Arrange these numbers from least to greatest:

$\left \{- \frac{3}{4}, -\frac{7}{9},-\frac{8}{11} \right \}$

Divide: $95\div 100=.95$

Answer:

Divide: $33\div 100=.33$

Answer: .33

Divide:

$58\div 100=.58$

Subtract:

$\frac{17}{63}-\frac{11}{63}=$

To solve, subtract the numerators and leave the denominators the same:

$\frac{17}{63}-\frac{11}{63}=\frac{6}{63}$

Answer: $\frac{6}{63}$

One Euro is equivalent to $1.27, so divide the number of dollars by this conversion factor. $1,000 is equivalent to

$1,000 \div 1.27\approx 787$ euros