Mara spent 1 1/2 on science homework. this is 2/3 of the time she had spent on her homework. how much time did she spend on her homework?

5/6 hours

2 1/6 hours

2 1/4 hours

4/9 hours

Good evening ,

Step-by-step explanation:

1 1/2 = 2/2 + 1/2 = 3/2

let t represent the time she spent On her homework

3/2 = 2/3(t) then t= 3/2×3/2 = 9/4 = 2 1/4.

:)

The correct answer is C. 2 1/4 hours.

Step-by-step explanation:

1. Let's review all the information provided for answering the question properly:

Time Mara spent on her science homework = 1 1/2 hours

Science homework = 2/3 of the total time on her homework

Time Mara spent on her homework = x

2. For calculating the total time Mara spent on her homework, we make this calculation using the Rule of Three Simple:

x = (1 1/2)/2/3

x = 3/2 / 2/3 (1 1/2 = 3/2)

x = 3/2 / 2/3

x = 3/2 * 3/2 = 9/4

x = 9/4 = 2 1/4

x = 2 1/4 hours