Question

Cole has many cans of fruit and vegetables in her pantry. 1/4 of the cans are vegetables and 6/7 of the cans are fruit. What fraction of the cans are either fruit or vegetables?​

Answer 1

Fraction of fruit or vegetable cans = 13/28

Explanation:

The fraction of the cans that are either fruit or vegetables is the sum of the fractions of the cans that are fruit and the cans that are vegetables. Since the fractions are for mutually exclusive categories, we can add the fractions of cans of fruit and the cans of vegetables to find the total fraction of cans that are either fruit or vegetables.

Fraction of fruit cans: 6/7

Fraction of vegetable cans: 1/4

Therefore,

Fraction of fruit or vegetable cans = 6/7 + 1/4 = (6 + 7)/(7*4) =13/28