Question

Multiply and reduce to lowest terms. 5 2/5 × 3 6/11=

19 8/55
19 4/25
19 3/8
19 1/7

Answer 1

`19(8)/(55)`

Explanation:

Fraction multiplication:

• Convert mixed fraction to improper fraction.

`5(2)/(5)=((5*5)+2)/(5)=(27)/(5)\\\\\\3(6)/(11)=((3*11)+6)/(11)=(39)/(11)`

• Here, there are no common terms in the numerator and denominator. so multiply, the numerators 27 *39 and the denomiators 5*11

`5(2)/(5)*3(6)/(11)=(27)/(5)*(39)/(11)`

`=(27*39)/(5*11)\\\\=(1053)/(55)\\\\=19(8)/(55)`