Question

When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 37 of a cherry pie, 27 of an apple pie, 37 of a peach pie, and 57 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie?

Answer 1

The correct answer is:

13/7, or 1 6/7 pies.

Step-by-step explanation:

There is 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remaining at the end of your shift. To find the total amount of pie, we add:

3/7 + 2/7 + 3/7 + 5/7

These fractions all have a common denominator; this means to add them, we add only the numerators:

(3+2+3+5)/7 = (5+3+5)/7 = (8+5)/7 = 13/7

Since 7/7 = 1 whole, this is more than 1. 7 will go into 13 one time; this makes 1 the whole number. There is a remainder of 6 from this, so we place this over 7, for the mixed number 1 6/7.