How to find the decimal equivalent of a fraction

ISEE Lower Level Quantitative Reasoning · Learn by Concept

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ISEE Lower Level Quantitative Reasoning › How to find the decimal equivalent of a fraction

1 - 10
1

Which fraction is the smallest?

\dpi{100} \frac{1}{8}

CORRECT

\dpi{100} \frac{1}{4}

0

\dpi{100} \frac{3}{4}

0

\dpi{100} \frac{2}{3}

0

Explanation

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger. \dpi{100} \frac{1}{8} has the smallest numerator AND the largest denominator of any of the fractions.

2

Write as a fraction in simplest form.

CORRECT

0

0

0

0

Explanation

The expression means "thirty-seven hundredths", so write

.

Since 37 and 100 have a greatest common factor of 1, the fraction cannot be simplified further.

3

Convert 0.5 into a fraction.

CORRECT

0

0

0

0

Explanation

If a number is one position to the right of the decimal, the the decimal is equal to that number divided by ten. 0.5 is equal to .

We reduce the fraction to its simplest form. We divide the numerator by 5 and the denominator by 5.

4

Identify the place value of the in the number:

Hundreds place value

CORRECT

Hundredths place value

0

Tens place value

0

Tenths place value

0

Ones place value

0

Explanation

In the number the is in the hundreds place value.

From right to left the place values are: ones, tens, hundreds, thousands and ten thousands.

5

Find the decimal equivalent of .

CORRECT

0

0

0

Explanation

To convert a fraction to a decimal, the denominator of the fraction must be 100.

becomes . When the number is over one hundred, you can simply write it as a decimal, giving you 0.15.

6

Which of these numbers is equal to ?

CORRECT

0

0

0

Explanation

To convert a fraction into a decimal, divide the numerator by the denominator.

7

Find the equivalent percent to

CORRECT

0

0

0

0

Explanation

To find the equivalent percent to divide the numerator by the denominator:

Now, multiply the decimal number by :

8

What decimal matches the value of the fraction?

CORRECT

0

0

0

Explanation

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. First we will need to add a decimal place and two zeros to one.

From here we can see that twenty times five will give us one hundred.

Therefore,

.

The answer is .

9

Find the decimal equivalent to

CORRECT

0

0

0

0

Explanation

To find the decimal equivalent to divide the numerator by the denominator:

Anoter way to solve this problem is to make equivalent fractions:

Six tenths is the same thing as

10

What decimal matches the value of the fraction?

CORRECT

0

0

0

Explanation

In order to find the decimal equivalent of a fraction, divide the numerator by the denominator. First, add a decimal and zero to the three.

From here, we can see that four goes into thirty seven times. Seven times four gives us twenty-eight. Now we subtract that from thirty to get our new division problem.

Now we can see that four times five gives us twenty therefore,

.

The answer is .