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

Question

550 views around the world

You can reuse this answer
Creative Commons License

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#