# WRITING PERCENTS AS DECIMALS AND FRACTIONS

Writing Percents as Decimals and Fractions :

In this section, we will learn, how to write a percent as an equivalent fraction and as an equivalent decimal.

Equivalent percents, decimals, and fractions all represent equal parts of the same whole.

## Writing Percents as Decimals and Fractions - Examples

Example 1 :

Lorenzo spends 35% of his budget on rent for his apartment. Write this percent as a fraction and as a decimal.

Solution :

Step 1 :

Write the percent as a fraction.

Since percent means per hundred, we have

35%  =  35 / 100

Step 2 :

Write the fraction in simplest form.

To write the fraction 35/100 in simplest form, we have to find the greatest common divisor for 35 and 100.

For 35 and 100, the greatest common divisor is 5.

Now, divide 35 and 100 by 5.

35 / 100  =  (35 ÷ 5) / (100 ÷ 5)

35 / 100  =  7 / 20

Step 3 :

Write the percent as a decimal.

35%  =  35 / 100

If we divide a number by 100, in the result there should two digits after the decimal point.

(Because there are two zeros in 100)

So, we have

35%  =  0.35

Example 2 :

Write 15% as a fraction and decimal.

Solution :

Step 1 :

Write the percent as a fraction.

Since percent means per hundred, we have

15%  =  15 / 100

Step 2 :

Write the fraction in simplest form.

To write the fraction 15/100 in simplest form, we have to find the greatest common divisor for 15 and 100.

For 15 and 100, the greatest common divisor is 5.

Now, divide 15 and 100 by 5.

15 / 100  =  (15 ÷ 5) / (100 ÷ 5)

15 / 100  =  3 / 20

Step 3 :

Write the percent as a decimal.

15%  =  15 / 100

If we divide a number by 100, in the result there should two digits after the decimal point.

(Because there are two zeros in 100)

So, we have

15%  =  0.15

Example 3 :

Write 48% as a fraction and decimal.

Solution :

Step 1 :

Write the percent as a fraction.

Since percent means per hundred, we have

48%  =  48 / 100

Step 2 :

Write the fraction in simplest form.

To write the fraction 48/100 in simplest form, we have to find the greatest common divisor for 48 and 100.

For 48 and 100, the greatest common divisor is 4.

Now, divide 48 and 100 by 4.

48 / 100  =  (48 ÷ 4) / (100 ÷ 4)

48 / 100  =  12 / 25

Step 3 :

Write the percent as a decimal.

48%  =  48 / 100

If we divide a number by 100, in the result there should two digits after the decimal point.

(Because there are two zeros in 100)

So, we have

48%  =  0.48 After having gone through the stuff given above, we hope that the students would have understood, how to write a percent as an equivalent fraction and as an equivalent decimal.

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