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

Add 72/27 and 2/35

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

72/27 + 2/35 is 286/105.

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

Next, find the equivalent fraction of both fractional numbers with denominator 945
For the 1st fraction, since 27 × 35 = 945,
72/27 = 72 × 35/27 × 35 = 2520/945
Likewise, for the 2nd fraction, since 35 × 27 = 945,
2/35 = 2 × 27/35 × 27 = 54/945
Add the two like fractions:
2520/945 + 54/945 = 2520 + 54/945 = 2574/945
2574/945 simplified gives 286/105
So, 72/27 + 2/35 = 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