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Last modified on July 18th, 2024

To convert a fraction to a percent, we first convert it to decimal, multiply it by 100 to get the percentage value, and finally add a ‘%’ sign.

It helps us to compare and order two quantities more easily.

Let us convert ${\dfrac{1}{4}}$ to percent.

**Dividing the Numerator by the Denominator of the Fraction **

${\dfrac{1}{4}}$ = 0.25

**Multiplying the Result by 100 and Moving the Decimal Point to the Right **

0.25 × 100 = 25%

Here, the answer is less than 100% as ${\dfrac{1}{4}}$ is a proper fraction.

Thus, the formula to convert fraction ${\dfrac{p}{q}}$ to percentage is:

**${\dfrac{p}{q}}$ = ${\left( \dfrac{p}{q}\times 100\right)}$ %**

**Here, **

**p = Numerator**

**q = Denominator**

This is another way of converting a fraction to a percent where we multiply the fraction by 100, simplify it, and then add a ‘%’ sign.

For example,

${\dfrac{1}{4}}$ = ${\dfrac{1}{4}\times 100}$ = 25%

In this method, we find the equivalent fraction with a denominator of 100. Then, the numerator with the ‘%’ sign represents the percent.

Let us convert ${\dfrac{1}{4}}$ into percent.

**Multiplying the Denominator by a Number to get 100 **

Since 4 × 25 = 100

Thus, we multiply 25 by the denominator 4 to get 100

**Multiplying the Numerator by the Same Number **

${\dfrac{1\times 25}{4\times 25}}$ = ${\dfrac{25}{100}}$

**Writing the Numerator with the ‘%’ Sign **

Thus, the percentage is 25%

Here is a fractions-to-percent conversion table for your use.

While converting an improper fraction to a percent, we follow the same steps.

Let us convert ${\dfrac{9}{4}}$ to percent.

**Converting to Decimal Number**

${\dfrac{9}{4}}$ = 2.25

**Multiplying the Decimal Number by 100 **

2.25 × 100 = 225%

Here, we observe that the answer is above 100%, as ${\dfrac{9}{4}}$ is an improper fraction.

**What is ${\dfrac{13}{20}}$ in percent form?**

Solution:

Here, ${\dfrac{13}{20}\times 100}$ = 65%

**What is ${\dfrac{2}{5}}$ as a percent?**

Solution:

Here, ${\dfrac{2}{5}\times 100}$ = 40%

**E.g.3. **

**What is ${\dfrac{12}{20}}$ as a percent?**

Solution:

Here, ${\dfrac{12}{20}\times 100}$ = 60%

**E.g.4. **

**Compare the fractions ${\dfrac{3}{4}}$ and ${\dfrac{16}{20}}$ by converting them to percentages.**

Solution:

Here, ${\dfrac{3}{4}\times 100}$ = 75%

${\dfrac{16}{20}\times 100}$ = 80%

Since 80% > 75%

Thus, ${\dfrac{16}{20}}$ > ${\dfrac{3}{4}}$

Last modified on July 18th, 2024