Catherine got 9 3/8 pounds of cherries from her tree this year. Last year she only got 6 1/4 pounds. How many times more pounds did she get this year than last year?
same concept as your other question answered by me
Thank you!
To find out how many times more pounds Catherine got this year than last year, we need to calculate the difference between the two amounts and then divide it by the amount she got last year. Let's break it down step by step:
Step 1: Convert the mixed numbers (6 1/4 and 9 3/8) into improper fractions.
- 6 1/4 = (6 * 4 + 1) / 4 = 25 / 4
- 9 3/8 = (9 * 8 + 3) / 8 = 75 / 8
Step 2: Find the difference between the two amounts.
- 75 / 8 - 25 / 4 = (75 * 4 - 25 * 8) / (8 * 4) = (300 - 200) / 32 = 100 / 32 = 25 / 8
Step 3: Divide the difference by the amount she got last year.
- 25 / 8 ÷ 25 / 4 = (25 / 8) * (4/25) = (25 * 4) / (8 * 25) = 1/2
Therefore, Catherine got 1/2 times more pounds this year than last year.