Add 49/35 and 5/72, Solve 1 14/35 + 5/72 as a fraction

Add 49/35 and 5/72

1^st number: 1 14/35, 2^nd number: 5/72

49/35 + 5/72 is 529/360.

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,
49/35 = 49 × 72/35 × 72 = 3528/2520
Likewise, for the 2nd fraction, since 72 × 35 = 2520,
5/72 = 5 × 35/72 × 35 = 175/2520
Add the two like fractions:
3528/2520 + 175/2520 = 3528 + 175/2520 = 3703/2520
3703/2520 simplified gives 529/360
So, 49/35 + 5/72 = 529/360
In mixed form: 1169/360

MathStep (Works offline)

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