Add 36/7 and 75/27, Solve 5 1/7 + 2 21/27 as a fraction

Add 36/7 and 75/27

1^st number: 5 1/7, 2^nd number: 2 21/27

36/7 + 75/27 is 499/63.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 7 × 27 = 189,
36/7 = 36 × 27/7 × 27 = 972/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
75/27 = 75 × 7/27 × 7 = 525/189
Add the two like fractions:
972/189 + 525/189 = 972 + 525/189 = 1497/189
1497/189 simplified gives 499/63
So, 36/7 + 75/27 = 499/63
In mixed form: 758/63

MathStep (Works offline)

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