How to Find a Fraction of a Number (Mathematics Lesson)
Finding a Fraction of a NumberA 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 NumberTo 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
An Example QuestionWhat is 3 ⁄ 5 of 25?
In our example, the fraction is 3 ⁄ 5 and the number is 25.
3 ÷ 5 = 0.6
0.6 × 25 = 15We have an answer:
Another Real Example of How to Find a Fraction of a NumberThe slider below shows another example of finding a fraction of a number:
Here's a second test on finding a fraction of a number.
Here's a third test on finding a fraction of a number.
Fraction of Number =
When you see a question like:
Fraction × Number
Find 1 ⁄ 2 of 10
Translate of into ×:
1 ⁄ 2 × 10
Order of × and ÷ Doesn't MatterIn the example shown on this page, you:
- find numerator ÷ denominator, then
- × the number.
- find numerator × the number, then
- ÷ by the denominator.
Multiplying a Number by a Mixed FractionThe method used on this page is only suitable for:
Convert the mixed fraction to an improper fraction and then follow the method shown here.