To find a fraction of a number, we divide the number by the denominator of the fraction and multiply the result by the numerator of the fraction.

For example, to find 2/5 of 10 centimeters, you need to divide 10 by 5, and multiply the result by 2.

10 : 5 = 2

2 × 2 = 4

The answer is 4. So 2/5 of ten centimeters is 4 centimeters. Schematically it looks like this:

two parts of five are four centimeters

To find 2/5 of ten centimeters, just multiply 10 by 2/5. Then we get the same result as last time, but we get it in one step:

Ten times two-fifths = four

Therefore, we can take note of the following rule for finding a fraction of a number:

To find a fraction of a number, multiply the number by the fraction you are looking for.


Example 2. Find 2/3 of two hours.

Two hours is 120 minutes. To find 2/3 of 120 minutes, multiply 120 by a fraction of 2/3

One hundred and twenty times 2/3 = eighty

So 2/3 of two hours is 80 minutes.


Video lesson

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