How to find the decimal equivalent of a fraction - ISEE Middle Level Quantitative Reasoning

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Question

Which answer choice is equivalent to 60%?

Answer

Find the decimal equivalent of 60%:

$60\div 100=.60$

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Question

Which is the decimal equivalent of 45%?

Answer

Find the equivalent by dividing:

$45\div 100=.45$

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Question

Write 4.8 as an improper fraction in lowest terms.

Answer

This is forty-eight tenths; write this as a fraction, then simplify:

$\frac{48}{10}=\frac{48\div 2}{10\div 2} = \frac{24}{5}$

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Question

Find the decimal equivalent of 95%.

Answer

Divide: $95\div 100=.95$

Answer:

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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

Which of these is equivalent to 29%?

Answer

Divide: $29\div 100=.29$

Answer:

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Question

Which of these is equivalent to 83%?

Answer

Divide: $83\div 100=.83$

Answer:

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Question

Express $\frac{11}{13}$ as a decimal.

Answer

Divide 11 by 13:

$\frac{11}{13} = 11 \div 13 = 0.846153846153... = 0.\overline{846153}$

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Question

Express as a decimal: $\frac{14}{15}$

Answer

Divide 14 by 15:

$\frac{14}{15} = 14 \div 15 = 0.9333... = 0.9\overline{3}$

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Question

Express as a fraction.

Answer

The last nonzero digit is in the ten-thousandths place, so write the number, without decimal point or leading zeroes, over 10,000. Then reduce.

$\frac{25}{10,000} = \frac{25 \div 25}{10,000\div 25} = \frac{1}{400}$

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Question

Which is the greater quantity?

(a) $\frac{1}{7}$

(b)

Answer

Divide 1 by 7:

$\frac{1}{7} = 1 \div 7 = 0.142857... < 0.143$

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Question

Which is the greater quantity?

(a) $\frac{7}{11}$

(b)

Answer

Divide 7 by 11:

$\frac{7}{11} = 7 \div 11 = 0.636363... > 0.63$

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Question

Which is the greater quantity?

(a) $- \frac{3}{13}$

(b)

Answer

Divide 3 by 13:

$\frac{3}{13} = 3 \div 13 = 0.230769... > 0.23$

$\frac{3}{13} > 0.23 \Rightarrow -\frac{3}{13} < - 0.23$

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Question

Which is the greater quantity?

(a) $- \frac{7}{12}$

(b)

Answer

Divide 7 by 12:

$7 \div 12 = 0.58333... > 0.58$

$\frac{7 }{12} > 0.58$ , so $- \frac{7 }{12} < - 0.58$

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Question

Express $0.4\overline{3 }$ as a fraction in lowest terms.

Answer

Set

Then

and

Subtract:

$\underline{10x =; 4.333..}.$

$\frac{90x }{90 }=\frac{ 39 }{90}$

$x=\frac{ 39\div 3}{90\div 3 }= \frac{13}{30 }$

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Question

Express $0.78\overline{3}$ as a fraction in lowest terms.

Answer

Let

Then

and

Subtract:

$\underline{100x= ; 78.333...}$

$\frac{900x}{900} = \frac{705}{900}$

$x= \frac{705}{900} = \frac{705\div 15}{900\div 15 } = \frac{47}{60}$

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Question

Express $0.0\overline{7}$ as a fraction in lowest terms.

Answer

Let

Then and

Subtract:

$\underline{10x = 0.777...}$

$\frac{90x}{90} =\frac{ 7 }{90}$

$x=\frac{ 7 }{90}$

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Question

Express $\frac{3}{7}$ as a decimal.

Answer

Divide 3 by 7 to get

$\frac{3}{7} = 3 \div 7 = 0.428571428571...$

or $0.\overline{428571 }$ .

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Question

What is the equivalent of 34%?

Answer

Divide: $34 \div 100=.34$

Answer: .34

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