Question

Amy had homework for math,science,and history.she spent 1/3 of her time working on math and 1/4 of her time working on science.

Answer 1

So,

I will be assuming the same thing as the other user.

First, we have to convert the fractions so that they have common denominators.


`(1)/(3) * (4)/(4) = (4)/(12)`


`(1)/(4) * (3)/(3) = (3)/(12)`

Now we add the fractions together.


`(4)/(12) + (3)/(12) = (7)/(12)`

Now, to find the fraction of the time that Amy spent on history, we need to subtract the sum of the time she spent in math and science from one whole.


`(12)/(12)-(7)/(12)=(5)/(12)`

Amy spent 5/12 of her time working on history.

Answer 2

First we need to multiply to make the fractions have equal denominators so we can add/subtract.

math: 1/3 x 4/4=4/12
science: 1/4 x 3/3=3/12

Now we can find the time she spent on history (I assume this is what you are looking for)

Total time-math time-science time=history time
12/12-4/12-3/12
=5/12

Amy spent 5/12 of her time working on history.