Add 42/7 and 48/27, Solve 6 0/7 + 1 21/27 as a fraction

Add 42/7 and 48/27

1^st number: 6 0/7, 2^nd number: 1 21/27

42/7 + 48/27 is 70/9.

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,
42/7 = 42 × 27/7 × 27 = 1134/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
48/27 = 48 × 7/27 × 7 = 336/189
Add the two like fractions:
1134/189 + 336/189 = 1134 + 336/189 = 1470/189
1470/189 simplified gives 70/9
So, 42/7 + 48/27 = 70/9
In mixed form: 77/9

MathStep (Works offline)

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