Question

You told your friend that you could eat 3/4 of a large pizza. If you only ate 2/3 of what you said you could eat, what fraction of a large pizza did you eat?

Answer 1

You claimed you could eat 3/4 of a pizza, but only ate 2/3 of that amount. Multiplying 3/4 by 2/3 gives 6/12, which simplifies to 1/2. Thus, you actually ate 1/2 of a large pizza.

Step-by-step explanation:

You mentioned that you could eat 3/4 of a large pizza, but you only ate 2/3 of what you said you could eat. To find out what fraction of the pizza you actually ate, you multiply these two fractions. Here is the step-by-step calculation:

• Write down the fractions: 3/4 (the amount you claimed you could eat) and 2/3 (the fraction of that amount you actually ate).
• Multiply the numerators together (the top numbers of the fractions): 3 x 2 = 6.
• Multiply the denominators together (the bottom numbers of the fractions): 4 x 3 = 12.
• Combine these to get the fraction of the pizza you ate: 6/12.
• Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6: 6/12 = 1/2.

Therefore, you ate 1/2 of a large pizza.