Question

During a cake-eating contest, Dave ate three and a half pizza and Daisy

ate two-thirds of a pizza. How many pizzas did they eat altogether?

HELP EXPLAIN STEP BY STEP!

Answer 1

4 1/6

Step-by-step explanation:

Dave eats 3 3/6

Daisy eats 4/6

Together they eat 3 1/6

First you have to make it to a common denominator for Dave and Daisy. then you add the fractions.

Answer 2

Answer: 4 & 1/6

4 full pizzas plus 1/6 of a pizza

i.e. 4 full pizzas plus one extra slice

======================================================

Step-by-step explanation:

1/2 = 3/6

2/3 = 4/6

The fractions add to 1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 & 1/6

That first "1" is the carry and it adds to the 3 whole pizzas Dave ate. So we have 3+1 = 4 full pizzas consumed, plus an additional 1/6 of a pizza.

This gives the mixed number 4 & 1/6

Check out the diagram below. I show Dave's slices in blue, and Daisy's slices in pink for the first two rows. The third row is the combination of those slices to get 4 full pizzas and 1 extra slice (to represent that extra 1/6). Let me know if you have questions about the diagram, or the steps in general.