How do you combine #2 1/4 * 3 1/5#?

1 Answer
Apr 12, 2018

#7 1/5#

Explanation:

Start by converting each term into an improper fraction.

#2 1/4 = 2 + 1/4 = 8/4 + 1/4 = 9/4#
#3 1/5 = 3 + 1/5 = 15/5 + 1/5 = 16/5#

Now we can multiply.

#(9/4)(16/5) = (9*16)/(4*5) = 144 / 20 = 72 / 10 = 36 / 5#.

To return this improper fraction back into a mixed number, divide and place the remainder over the original denominator.

#36/5 = (35 + 1)/(5) = 7 + 1/5 = 7 1/5#.