#### Need Help?

Get in touch with us

# Relation Between Fraction, Decimal and Percent with Examples

## Relation between fraction, decimal and percent:

Since a percent is a ratio that can be written as a fraction, and a fraction can be written as a decimal. This means any of these forms can be converted to any of the others.

### To Convert a Fraction:

To a decimal: Divide the numerator by the denominator.

To a percent: Convert the fraction first to a decimal, then move the decimal point 2 places to the right and add the % symbol.

### To Convert a Decimal:

To a fraction: Read the decimal and reduce the resulting fraction.

To a percent: Move the decimal point 2 places to the right and add the % symbol.

### To Convert a Percent

To a decimal: Move the decimal point 2 places to the left and drop the % symbol.

To a fraction: Drop the % sign and write the number “over” 100. Reduce, if possible.

Let’s understand the above conversion by examples

Example3 Convert ¾ in decimal form.

Example4 Convert 3/8 in decimal form.

Observe the images given below and find the similarity.

Image1:-

Here in the above picture shaded block can be represented in three ways:

1. Fraction – 30/100 or 3/10
1. Decimal – 0.3 = 0.30
1. Percent – 30%

Image2:-

Here all three jugs represent the half quantity of liquid of whole you can write them in any of the way like:

1. 50%
1. ½
1. 0.5

### Fraction into Percent:

Example1 Convert 60/100 as a percent:

Example2 Observe the image and convert the fraction in the percent.

More Word Problems: Understand Percent

Question1: – Teddy spend 3/8 of his homework time doing Math problems. Write 3/8 as a decimal and as a percent.

Solution:

=  0. 375

Therefore, 3/8 = 0.375

Use the decimal to find the equivalent rate:

0.375 =

=37.5%

Question2: – Convert

178178

to a decimal and a percent.

Solution: Write the mixed fraction as 1 +

7878

### Decimal:

= 1 + 0.875

= 1.875

Percent:

1.875 = (1.875 × 100)%

= 187.5%

Note: To convert the decimal number into percent

we can directly multiply it with 100 and follow it with a

a % sign.

### Concept Map:

In each diagram, the same area is shaded

But it’s not easy to see that the Fraction, the Decimal and the Percentage all have the same value, because the Fraction and the Decimal have been simplified

#### Composite Figures – Area and Volume

A composite figure is made up of simple geometric shapes. It is a 2-dimensional figure of basic two-dimensional shapes such as squares, triangles, rectangles, circles, etc. There are various shapes whose areas are different from one another. Everything has an area they occupy, from the laptop to your book. To understand the dynamics of composite […] #### Special Right Triangles: Types, Formulas, with Solved Examples.

Learn all about special right triangles- their types, formulas, and examples explained in detail for a better understanding. What are the shortcut ratios for the side lengths of special right triangles 30 60 90 and 45 45 90? How are these ratios related to the Pythagorean theorem?  Right Angle Triangles A triangle with a ninety-degree […] #### Ways to Simplify Algebraic Expressions

Simplify algebraic expressions in Mathematics is a collection of various numeric expressions that multiple philosophers and historians have brought down. Talking of algebra, this branch of mathematics deals with the oldest concepts of mathematical sciences, geometry, and number theory. It is one of the earliest branches in the history of mathematics. The study of mathematical […]   