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

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.

Answer 2

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.

$\frac{1}{3} * \frac{4}{4} = \frac{4}{12}$

$\frac{1}{4} * \frac{3}{3} = \frac{3}{12}$

Now we add the fractions together.

$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$

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.

$\frac{12}{12}-\frac{7}{12}=\frac{5}{12}$

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