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

Answer:

$19\dfrac{8}{55}$

Step-by-step explanation:

Fraction multiplication:

• Convert mixed fraction to improper fraction.

$5\dfrac{2}{5}=\dfrac{(5*5)+2}{5}=\dfrac{27}{5}\\\\\\3\dfrac{6}{11}=\dfrac{(3*11)+6}{11}=\dfrac{39}{11}$

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

             $5\dfrac{2}{5}*3\dfrac{6}{11}=\dfrac{27}{5}*\dfrac{39}{11}$

                             $=\dfrac{27*39}{5*11}\\\\=\dfrac{1053}{55}\\\\=19\dfrac{8}{55}$