How do you simplify #35\frac { 3} { 7} \times 42\frac { 1} { 5} + \frac { 2} { 5} =#?

1 Answer
Dec 2, 2017

#=1495 17/35#

Explanation:

The first step in multiplying fractions is to change any mixed numbers to improper fractions.

#a b/c = (cxxa+b)/c#

#color(blue)(35 3/7 xx 42 1/5) +2/5#

#=color(blue)(248/7 xx 211/5) +2/5" "larr# there are no common factors

#=color(blue)(52328/35) +2/5" "larr# now add the fractions

Find the LCD. It is #35" "(2/5 xx7/7 = 14/35)#

#=52328/35 +14/35#

#=52342/35#

#=1495 17/35#