How do you evaluate #\frac { 10} { 9} * \frac { 12} { 25}#?

1 Answer
Jim G.
Feb 28, 2017

#8/15#

Explanation:

#10/9 . 12/25=10/9xx12/25#

Consider the #color(blue)"highest common factors"#( HCF) between values on the numerators/denominators.

#•10" and " 25" have a HCF of "5#

#• 9" and "12" have a HCF of "3#

We can #color(blue)"simplify"# the fractions by #color(blue)"cancelling"#

#rArr10/9xx12/25=cancel(10)^2/cancel(9)^3 xxcancel(12)^4/cancel(25)^5#

After cancelling, multiply the values on the numerator/denominator.

#=(2xx4)/(3xx5)#

#=8/15larrcolor(red)" in simplest form"#

A fraction is in #color(blue)"simplest form"# when no other factor but 1 divides into the numerator/denominator.

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