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How to Express One Number as a Fraction of Another Number (Mathematics Lesson)

One Number as a Fraction of Another Number

One number can be expressed as a fraction of another number.

Imagine there were 5 shapes (3 squares and 2 triangles). To find what fraction of the shapes are squares, you would write 3 out of 5 as a fraction:

How to Write One Number as a Fraction of Another Number

Writing one number as a fraction of another is easy. Write the first number on top of a fraction, and the second number on the bottom of the fraction.

An Example Question

What is 45 out of 60 as a fraction?
Step 1
Write 45 as the top number (called the numerator) of the fraction.

Step 2
Write 60 as the bottom number (called the denominator) of the fraction.



Step 3
Simplify this fraction if possible.
Simplify the fraction by dividing the top and bottom numbers by their greatest common factor (which is 15).

45 ÷ 15 = 3
60 ÷ 15 = 4

This is 45 out of 60 expressed as a fraction.



The slider below shows another example of expressing one number as a fraction of another number:
Interactive Test
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Here's a second test on finding one number as a fraction of another.
Here's a third test on finding one number as a fraction of another.
Note

What Is a Fraction?

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.

There are three different types of fractions:

What's in a Name?

"Fraction" comes from the Latin "fractus", meaning "broken". The whole is "broken" into parts.