1/4 is equivalent to what percent

See below how to convert the fraction 1 1/4 to a percentage.

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 Ex.: ½, 2 ½, ⅓ etc.

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Remember that a percent is really just a special way of expressing a fraction as a number out of 100 .

To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100 .

That is, the fraction 4 8 can be converted to decimal by dividing 4 by 8 . It can be converted to percent by multiplying the decimal by 100 .

4 ÷ 8 = 0.5 0.5 × 100 = 50

So, the fraction 4 8 is equivalent to 50 % .

Example 1:

Write 2 25 as a percent.

So,

2 25 = 0.08 0.08 × 100 = 8

Therefore, the fraction 2 25 is equivalent to 8 % .

Look at the image below, it shows that the fraction 2 25 is same as 8 out of 100 , that is, 8 % .

Example 2:

Write 7 4 as a percent.

So,

7 4 = 1.75 1.75 × 100 = 175

Therefore, the fraction 7 4 is equivalent to 175 % .

Example 3:

Write 1 8 as a percent.

Divide 1 by .

So,

1 8 = 0.125 0.125 × 100 = 12.5

Therefore, the fraction 1 8 is equivalent to 12.5 % .

Percent to fraction converter ►

For example, in order to get a decimal fraction, 3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:

Other method is to do long division of 3 divided by 4.

Fraction to percent conversion table

Percent to fraction conversion ►

See also

Convert a fraction to a percent. Convert proper and improper fractions to percentages. This calculator shows the steps and work to convert a fraction to a percentage number.

Two Steps to Convert a Fraction to a Percent

1. Use division to convert the fraction to a decimal:
   1/4 = 1 ÷ 4 = 0.25
2. Multiply by 100 to get percent value:
   0.25 × 100 = 25%

1. Convert the fraction to a decimal number

The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." So converting a fraction such as 1/4 to a decimal means you need to solve the math: 1 divided by 4.
1 ÷ 4 = 0.25

2. Multiply by 100 to convert decimal number to percent

0.25 × 100 = 25%

You can reduce a fraction before converting to a decimal but it's not necessary because the answer will be the same. If you need to do the conversion by long division, reducing might make the math easier.

For example, 6/12 = 6 ÷ 12 = 0.50. If you solve this with a calculator then it is easy to get the answer. However, if you solve this by hand or in your head reducing 6/12 = 1/2 may make the problem easier and you may even recognize that 1/2 = 0.50.

Multiplying 0.50 by 100 means that 6/12 = 50%.

Related Calculators

You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. Just multiply the answer by 100 to get the percentage.

If you would like help reducing fractions to lowest terms see the Simplifying Fractions Calculator.

To convert a percent to a fraction see the Percent to Fraction Calculator.

It's very common when learning about fractions to want to know how convert a fraction like 1/4 into a percentage. In this step-by-step guide, we'll show you how to turn any fraction into a percentage really easily. Let's take a look!

Want to quickly learn or show students how to convert 1/4 to a percentage? Play this very quick and fun video now!

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 1/4 is 4, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 4 = 25

Once we have that, we can multiple both the numerator and denominator by this multiple:

1 x 25 / 4 x 25 = 25 / 100

Now we can see that our fraction is 25/100, which means that 1/4 as a percentage is 25%.

We can also work this out in a simpler way by first converting the fraction 1/4 to a decimal. To do that, we simply divide the numerator by the denominator:

1/4 = 0.25

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.25 x 100 = 25%

And there you have it! Two different ways to convert 1/4 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

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