The Lesson

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 Express One Number As a Fraction of Another Number

Expressing 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.


What is 45 out of 60 as a fraction?



Write 45 as the top number (called the numerator) of the fraction.


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


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


45 out of 60 is 34 as a fraction.

Lesson Slides

The slider below shows another real example of expressing one number as a fraction of another number.

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.