Question

What is the product of `7/16, 4/3,` and `1/2`?

Answer 1

`7/16*4/3*1/2 = 7/24`

Explanation:

To multiply fractions together, you can multiply the numerators and denominators, then simplify.

In our example:

`7/16*4/3*1/2 = (7*4*1)/(16*3*2) = 28/96 = (color(red)(cancel(color(black)(4)))*7)/(color(red)(cancel(color(black)(4)))*24) = 7/24`

In this particular example, we could have spotted the common factor `4` and eliminated it earlier, for example:

`7/16*4/3*1/2 = (7*4*color(red)(cancel(color(black)(1))))/(16*3*2) = (7*color(red)(cancel(color(black)(4))))/(color(red)(cancel(color(black)(4)))*4*3*2) = 7/24`