High School

Last week, Leon spent 2 hours doing homework. Sadie did homework for [tex]\frac{3}{4}[/tex] as many hours as Leon did. How many hours did Sadie spend doing homework?

a) [tex]\frac{3}{4}[/tex] hours
b) [tex]\frac{1}{2}[/tex] hours
c) [tex]1\frac{1}{4}[/tex] hours
d) [tex]1\frac{1}{2}[/tex] hours

Answer :

Final answer:

Sadie spent 1 1/2 hours doing homework, which is calculated by multiplying Leon's 2 hours by 3/4.

Explanation:

Last week, Leon spent 2 hours doing homework. If Sadie did homework for 3/4 as many hours as Leon did, we would calculate the time Sadie spent on homework by multiplying Leon’s hours by 3/4.

To find how many hours Sadie spent on homework, you follow these steps:

  1. Multiply Leon’s homework hours by the fraction representing Sadie’s homework time relative to Leon’s.
  2. Leon’s homework time is 2 hours. Sadie’s homework time is 3/4 of Leon’s, so we calculate 2 hours * (3/4).
  3. The result is 2 * 3/4 = 6/4 = 1 1/2 hours.

Therefore, Sadie spent 1 1/2 hours doing homework.

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