Add 75/35 and 28/72, Solve 2 5/35 + 28/72 as a fraction

Add 75/35 and 28/72

1^st number: 2 5/35, 2^nd number: 28/72

75/35 + 28/72 is 319/126.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 72 is 2520

Next, find the equivalent fraction of both fractional numbers with denominator 2520
For the 1st fraction, since 35 × 72 = 2520,
75/35 = 75 × 72/35 × 72 = 5400/2520
Likewise, for the 2nd fraction, since 72 × 35 = 2520,
28/72 = 28 × 35/72 × 35 = 980/2520
Add the two like fractions:
5400/2520 + 980/2520 = 5400 + 980/2520 = 6380/2520
6380/2520 simplified gives 319/126
So, 75/35 + 28/72 = 319/126
In mixed form: 267/126

MathStep (Works offline)

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