Question

Alan finished his homework in 1 1/2 hours. It took Jimmy 3/4 of an hour longer than Alan to finish his homework. How long did it take Jimmy to finish his homework?​

Answer 1

Explanation:

We need to add 3/4 of an hour to Alan's time.

Let's put Alan's time into a pure fraction.

`1(1)/(2) = (2)/(2)(1)/(2) = (3)/(2)`

Now we can add 3/4 to 3/2.

First, we need to find a common denominator (the bottom number).

4 and 2 is easy. The common denominator is 4. So let's solve it.

`(3)/(2) * (2)/(2) = (6)/(4)`

`(6)/(4) + (3)/(4) = (6+3)/(4)`

Answer 2

jimmy took 2 1/4 hours

Explanation:

just add both fractions

(3/2) + (3/4) = 9/4 = 2 1/4 hours