Add 48/42 and 35/27, Solve 1 6/42 + 1 8/27 as a fraction

Add 48/42 and 35/27

1^st number: 1 6/42, 2^nd number: 1 8/27

48/42 + 35/27 is 461/189.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
48/42 = 48 × 9/42 × 9 = 432/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
35/27 = 35 × 14/27 × 14 = 490/378
Add the two like fractions:
432/378 + 490/378 = 432 + 490/378 = 922/378
922/378 simplified gives 461/189
So, 48/42 + 35/27 = 461/189
In mixed form: 283/189

MathStep (Works offline)

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