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Hannah eats 1/4 of a pizza. Damian eats 2/3 of the same pizza. How much of the pizza is left?

A. 1/3
B. 5/12
C. 2/3
D. 7/12

User Nilesh B
by
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1 Answer

6 votes

Final answer:

To find out how much of the pizza is left, subtract the portions eaten by Hannah and Damian from the whole pizza. Hannah ate 1/4 of the pizza, leaving 3/4 of the pizza. Damian ate 2/3 of the pizza, leaving 5/12 of the pizza.

Step-by-step explanation:

To find out how much of the pizza is left, we can subtract the portions eaten by Hannah and Damian from the whole pizza.

Hannah ate 1/4 of the pizza, so we subtract 1/4 from 1 whole pizza. 1 - 1/4 = 3/4 of the pizza is left.

Damian ate 2/3 of the pizza, so we subtract 2/3 from the remaining 3/4. We can think of 3/4 as (2/4 + 1/4). Subtracting 2/3 from (2/4 + 1/4) is the same as subtracting 2/3 from 2/4 and 1/4 separately. (2/4 - 2/3) + 1/4 = 5/12.

Therefore, 5/12 of the pizza is left.

User Bmacnaughton
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