write the answer in simplest form 6\25 time 5\24

Question

write the answer in simplest form 6\25 time 5\24 

Answer 1

Hi Jessica;

(6/25)(5/24)

We will be multiplying the numerators together.  These are...

(6)(5)

We will be multiplying the denominators together. These are...

(25)(24)

Let's switch the numerators 6 and 5...

(5/25)(6/24)

While each fraction now has a different value, for the purposes of multiplication, this will not matter...

5/25=1/5, because both the 5 and 25 are divisible by 5.

6/24=1/4, because both the 6 and 24 are divisible by 4.

(1/5)(1/4)

(1)(1)=1

(5)(4)=20

1/20

This is the simplest form.