How do you simplify #3 7/8 - 1 1/5#?

1 Answer
Nov 4, 2015

Answer:

The answer is #107/40# or #2 27/40#.

Explanation:

#3 7/8-1 1/5#

Convert both mixed fractions to improper fractions.

#(8xx3+7)/8-(5xx1+1)/5=#

#31/8-6/5#

Determine the LCD by listing multiples.

#8:## 8, 16, 24, 32, 40 #

#5:##5, 10, 15, 20, 25, 30, 35, 40#

The LCD is #40#.

Multiply each fraction by a number that will make both denominators #40#.

#(31/8xx5/5)-(6/5xx8/8)=#

#155/40-48/40#

Simplify.

#((155-48))/40=#

#107/40#