Final answer:
To find out how much more homework you completed today than yesterday, subtract the fraction of homework completed yesterday from the fraction of homework completed today. In this case, you completed 7/24 more homework today than yesterday.
Step-by-step explanation:
To find out how much more homework you completed today than yesterday, you need to subtract the fraction of homework completed yesterday from the fraction of homework completed today.
Today, you completed 2/3 of your math homework, and yesterday you completed 3/8 of your math homework.
To find the difference, subtract 3/8 from 2/3:
- (2/3) - (3/8)
- Multiply the denominators (3 and 8) to get a common denominator: 24
- Multiply each fraction by a form of 1 that changes the denominator to the common denominator:
- (2/3) x (8/8) = 16/24
- (3/8) x (3/3) = 9/24
- Subtract the numerators: 16/24 - 9/24 = 7/24
Therefore, you completed 7/24 more homework today than yesterday.
Learn more about Difference of Fractions