# How so you multiply #\frac { 3} { 8} \times \frac { 16} { 21}#?

##### 1 Answer

#### Explanation:

When multiplying fractions we look for any

#color(blue)"common factors"# on the numerators / denominators that we can#color(blue)"cancel",# that is divide by.Here 3 and 21 have a common factor of 3 and 8 and 16 have common factors of 2 , 4 and 8. We choose the highest common factor in this case 8.

#rArr3/8xx16/21=cancel(3)^1/cancel(8)^1xxcancel(16)^2/cancel(21)^7#

#=(1xx2)/(1xx7)=2/7larr" in simplest form"# A fraction is in

#color(blue)"simplest form"# when no other factor but 1 will divide into the both the numerator and denominator.