How do you evaluate #\frac { 4} { 9} \times \frac { 12} { 20} #?

Question

310 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-13T08:31:22

See explanation.

#4/9xx12/20=4/9xx3/5=4/3xx1/5=4/15#

First step is to reduce #12/20# by #4#, next step is reducing #3# and #9# by #3#. Final step is to multiply numerators and denominators.

Answer 2 · 2017-08-14T18:07:04

#4/15#

When you are multiplying with fractions, you can cancel any numerator with any denominator that have common factors.

#4/9 xx 12/20#

#rarr" "# divide #4 and 20# by 4.
#rarr" "# divide #9 and 12# by 3.

#=cancel4/cancel9^3 xx cancel12^4/cancel20^5" "larr# multiply straight across

#=4/15#