## How to Convert Percent into Fractions and Decimals

In this lesson, we will learn how to

**Convert**

**Decimal into percent**
**Percent into a decimal**
**Fraction into a percent**
**Percent into a fraction**

**1. Decimal into percent**

**Convert 0.25 into a percentage.**

**Solution: **

First express 0.25 as a fraction with 100 in the denominator.

Write 100 in denominator for the two digits after the decimal point,

Therefore,

0.25 =

Substitute % for 100 in the denominator and express 25/100 as 25%

Thus 0.25 = 25%

Write the following decimal numbers as percentages:

1. 0.35

First 0.35 is 35/100, now write % for the fraction 1/100.

So that, 0.35 = 35%

Short-cut:

Instead, use the above rule and shift the decimal point two places to the right and write the percentage symbol:

0.35 = 035.

Discard 0 in the beginning as it carries no value in the first place and the decimal point too followed by no digit.

035. is therefore same as 35, and

0.35 = 35%

2. 0. 456

Shift the decimal point two places to the right and write the percentage symbol. Therefore,

0.456 = 45.6%

3. 8.352

Shift the decimal point two places to the right, so that

8.352 = 835.2 %

**2. Percent into a decimal**

Consider 55%

1. Convert 55% into a decimal number.

We know to write the fraction 1/100 for % symbol,

So, 55% = 55 × (1/100) = 55/100

Because of two zeroes in denominator in 100, write the decimal point two places to the left of the last digit in numerator, 55.

So, 55/100 = .55 = 0.55

2. Express 5.5 % as a decimal number.

Now, 5.5% = 5.5/100

Now, 5.5 is 55/10, writing a 10 in denominator for the one decimal point in 5.5,

So, 5.5/100 = (55/10) × (1/100) = 55/1000

Now, write decimal point three places to the left of the unit’s digit 5 for the three zeroes in the denominator

Therefore, 55/1000 = 0.055

3. 25% = 25/100

Reduce the fraction 25/100 into lowest terms by dividing both numerator and denominator by their common factor 25,

4. 90% = 90/100 =

9/10 after dividing by the common factor, 10

**Fraction into a percent**

**1. What percent is the fraction 2/3? **

Multiply 2/3 with 100 and write % in the end.

**Convert 4/5 into percentage**

(4/5)×100 =

PERCENT INTO A FRACTION

1. Express 60% as a fraction?

You can put it in two ways:

1. Multiply integer 60 with the fraction 1/100 – for %

60 × (1/100) = 60/100 = 6/10 = 3/5

Or

2. Divide number 60 by 100

60/100 = 6/10 = 3/5

2. What percent is 40?

Multiply integer 40 with 100 and write the percent symbol %