Question

What is the product of `8/15, 6/5` and `1/3`?

Answer 1

See the entire solution process below.

Explanation:

First, product means to multiple, so we can express the product of these three terms as:

`8/15 xx 6/5 xx 1/3`

We can now use the rule for multiplying fractions:

`color(red)(a)/color(red)(b) xx color(blue)(c)/color(blue)(d) = (color(red)(a) xx color(blue)(c))/(color(red)(b) xx color(blue)(d))`

`(8 xx 6 xx 1)/(15 xx 5 xx 3)`

We can now factor `6` as `3 xx 2` and cancel the common term:

`(8 xx 3 xx 2 xx 1)/(15 xx 5 xx 3)`

`(8 xx color(red)(cancel(color(black)(3))) xx 2 xx 1)/(15 xx 5 xx color(red)(cancel(color(black)(3))))`

`(8 xx 2 xx 1)/(15 xx 5) -> 16/75`