Add 36/21 and 30/27, Solve 1 15/21 + 1 3/27 as a fraction

Add 36/21 and 30/27

1^st number: 1 15/21, 2^nd number: 1 3/27

36/21 + 30/27 is 178/63.

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,
36/21 = 36 × 9/21 × 9 = 324/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189
Add the two like fractions:
324/189 + 210/189 = 324 + 210/189 = 534/189
534/189 simplified gives 178/63
So, 36/21 + 30/27 = 178/63
In mixed form: 252/63

MathStep (Works offline)

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