Add 72/35 and 18/27, Solve 2 2/35 + 18/27 as a fraction

Add 72/35 and 18/27

1^st number: 2 2/35, 2^nd number: 18/27

72/35 + 18/27 is 286/105.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945

Next, find the equivalent fraction of both fractional numbers with denominator 945
For the 1st fraction, since 35 × 27 = 945,
72/35 = 72 × 27/35 × 27 = 1944/945
Likewise, for the 2nd fraction, since 27 × 35 = 945,
18/27 = 18 × 35/27 × 35 = 630/945
Add the two like fractions:
1944/945 + 630/945 = 1944 + 630/945 = 2574/945
2574/945 simplified gives 286/105
So, 72/35 + 18/27 = 286/105
In mixed form: 276/105

MathStep (Works offline)

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