How do you solve #\frac { 3} { 5} \cdot \frac { 1} { 6} \div \frac { 2} { 5} #?

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Answer 1 · 2016-11-18T05:36:51

#3/5*1/6-:2/5=color(blue)(1/4)#

Solve #3/5*1/6-:2/5#.

According to the order of operations, multiplication and division have equal weight, so complete them in order from left to right.

Multiply the first two fractions by multiplying their numerators and denominators.

#(3/5*1/6)-:2/5=3/30-:2/5#

Divide #3/30# by #2/5#, by inverting #color(red)(2)/color(blue)(5)# and multiplying.

#3/30*color(blue)(5)/color(red)(2)=15/60#

Simplify #15/60#.

#15# goes into #15# and #60# evenly.

Divide the numerator and denominator by the equivalent fraction #15/15#.

#(15-:15)/(60-:15)=#

#1/4#