The Lesson
A fraction of a number lets us find part of a number. Imagine ^{3}/_{5} (three-fifths) of a class of 25 students love mathematics. 15 students (^{3}/_{5} of 25) love mathematics.How to Find the Fraction of a Number
To find the fraction of a number you have to multiply the fraction by the number:Hint: 'of' means '×' when finding a fraction of a number.
A Real Example of How to Find the Fraction of a Number
Question
What is ^{3}⁄_{5} of 25?Step-by-Step:
1
Write a fraction of a number as a fraction × a number, like the formula above.
In our example, the fraction is ^{3}⁄_{5} and the number is 25.
2
Divide the top number (called the numerator) of the fraction (3) by the bottom number (called the denominator) of the fraction (5).
3 ÷ 5 = 0.6
3
Multiply the answer (0.6) by the number (25).
0.6 × 25 = 15
Answer:
We have found ^{3}⁄_{5} of 25.Top Tip
Fraction of Number =
Fraction × Number
When you see a question like:
Find ^{1}⁄_{2} of 10
Translate of into ×:
Find ^{1}⁄_{2} × 10
Order of × and ÷ Doesn't Matter
In the example shown on this page, you:- find numerator ÷ denominator, then
- × the number.
- find numerator × the number, then
- ÷ by the denominator.