Question

Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was then left with 1/5 of the pizza. What fraction of the pizza did Tom give his brother?​

Answer 1

7/15

Explanation:

first recognise that 3/3 is a whole pizza and so is 5/5.

Secondly make all the numbers to have the same denominator

So times both denominators of the fractions together; 5x3=15

Now find 1/3 of 15. Do this by dividing 15 by 3. This equals 5.

So 1/3 is equal to 5/15

Now do the same for 1/5. 15 divided by 5, this equals 3.

So 1/5 is equal to 3/15

Now that we know that the whole pizza is 15/15

We minus 1/3 from 15.

15-5=10. So we now have 10/15 left.

now we know that 'x' is representative of the amount of pizza Tom gave to his bother.

10/15 - 3/15 = x

x = 7/15

So out of the whole pizza (15/15), tom ate 5/15 and was left with 3/15 meaning he gave 7/15 to his brother.