How to find the decimal equivalent of a fraction

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

Questions 1 - 10
1

Which fraction is the smallest?

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

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

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

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

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.

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.

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

Hundredths place value

Tens place value

Tenths place value

Ones place value

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 .

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 ?

Explanation

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

7

Find the equivalent percent to

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?

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

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?

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 .

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