How do you determine whether the proportion is true or false: #(3/2)/(21/5)=(1/3)/(14/15)#?

1 Answer
Nov 22, 2016

Answer:

The proportion is true. Both sides are equal to #5/14#.

Explanation:

#frac{3/2}{21/5}=frac{1/3}{14/15}#

There are 2 fractions on each side. Make it so that there is only one fraction on each side by dividing. Dividing is the same as multiplying by the reciprocal.

Left Side:
#frac{3/2}{21/5}#
#=(3/2)*(5/21)#
#=(5/14)*(3/3)#
#=5/14#

Right Side:
#frac{1/3}{14/15}#
#=(1/3)*(15/14)#
#=5/14*3/3#
#=5/14#