Question

How do you evaluate `\frac { 11} { 10} \cdot \frac { 1} { 3} \cdot \frac { 2} { 33}`?

Answer 1

`1/45`

Explanation:

`11/10*1/3*2/33`

`:.=cancel22^color(red)1/cancel990^color(red)45`

`:.=1/45`

Answer 2

`= 1/45`

Explanation:

When you are multiplying common fractions together, by cancelling out common factors from the numerator and denominator, you make the numbers smaller, which then makes the final simplifying easier.

`11/10 xx 1/3 xx 2/33`

`=11/cancel10_5 xx 1/3 xx cancel2^1/33" "larr 2 and 10` can both divide by `2`

`=cancel11^1/5 xx 1/3 xx 1/cancel33_3" "larr 11 and 33` can both divide by 11

`= 1/5 xx 1/3 xx 1/3`

`= 1/45`

If you cancel as much as possible before multiplying, you will not need to simplify in the last step.