# How do you write the answer #3/16 times 4/9# in simplest form?

##### 2 Answers

Oct 30, 2016

#### Explanation:

Oct 30, 2016

#### Explanation:

When multiplying 2 or more fractions together we can

#color(blue)"cancel"# any common factors on the numerators with values on the denominators, dividing each by the common factor.

#rArr(3÷3)/(16÷4)xx(4÷4)/(9÷3)=1/4xx1/3=1/12# This is usually done by 'scoring out' the value to be cancelled.

#rArrcancelcolor(red)(3)^1/cancelcolor(blue)(16)^4xxcancelcolor(blue)(4)^1/cancelcolor(red)(9)^3=(1xx1)/(4xx3)=1/12larr" in simplest form"# A fraction is in

#color(blue)"simplest form"# when the numerator/denominator have only 1 as a common factor.