# How do you simplify #\frac{13}{8}\times \frac{16}{5}#?

##### 1 Answer

Nov 14, 2016

#### Explanation:

Consider

#color(blue)"common factors"# on the numerators and denominators and#color(blue)"cancel"# any values by them.That is 8 and 16 have a

#color(blue)"common factor"# of 8 thus can be#color(blue)"cancelled"# by dividing both by 8. 13 and 5 have no common factors, other than 1 so cannot be simplified.

#rArr13/color(red)cancel(8)^1xxcolor(red)cancel(16)^2/5# multiply the remaining values together on numerator/denominator.

#=(13xx2)/(1xx5)=26/5#