Add 35/18 and 72/56, Solve 1 17/18 + 1 16/56 as a fraction

Add 35/18 and 72/56

1^st number: 1 17/18, 2^nd number: 1 16/56

35/18 + 72/56 is 407/126.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 56 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 18 × 28 = 504,
35/18 = 35 × 28/18 × 28 = 980/504
Likewise, for the 2nd fraction, since 56 × 9 = 504,
72/56 = 72 × 9/56 × 9 = 648/504
Add the two like fractions:
980/504 + 648/504 = 980 + 648/504 = 1628/504
1628/504 simplified gives 407/126
So, 35/18 + 72/56 = 407/126
In mixed form: 329/126

MathStep (Works offline)

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