Add 49/21 and 20/27, Solve 2 7/21 + 20/27 as a fraction

Add 49/21 and 20/27

1^st number: 2 7/21, 2^nd number: 20/27

49/21 + 20/27 is 83/27.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
49/21 = 49 × 9/21 × 9 = 441/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
20/27 = 20 × 7/27 × 7 = 140/189
Add the two like fractions:
441/189 + 140/189 = 441 + 140/189 = 581/189
581/189 simplified gives 83/27
So, 49/21 + 20/27 = 83/27
In mixed form: 32/27

MathStep (Works offline)

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