Add 10/14 and 45/80, Solve 10/14 + 45/80 as a fraction

Add 10/14 and 45/80

10/14 + 45/80 is 143/112.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 80 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 14 × 40 = 560,
10/14 = 10 × 40/14 × 40 = 400/560
Likewise, for the 2nd fraction, since 80 × 7 = 560,
45/80 = 45 × 7/80 × 7 = 315/560
Add the two like fractions:
400/560 + 315/560 = 400 + 315/560 = 715/560
715/560 simplified gives 143/112
So, 10/14 + 45/80 = 143/112
In mixed form: 131/112

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad