Add 70/54 and 48/42, Solve 1 16/54 + 1 6/42 as a fraction

Add 70/54 and 48/42

1^st number: 1 16/54, 2^nd number: 1 6/42

70/54 + 48/42 is 461/189.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
70/54 = 70 × 7/54 × 7 = 490/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
48/42 = 48 × 9/42 × 9 = 432/378
Add the two like fractions:
490/378 + 432/378 = 490 + 432/378 = 922/378
922/378 simplified gives 461/189
So, 70/54 + 48/42 = 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