Add 10/54 and 48/42, Solve 10/54 + 1 6/42 as a fraction

Add 10/54 and 48/42

1^st number: 10/54, 2^nd number: 1 6/42

10/54 + 48/42 is 251/189.

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,
10/54 = 10 × 7/54 × 7 = 70/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
48/42 = 48 × 9/42 × 9 = 432/378
Add the two like fractions:
70/378 + 432/378 = 70 + 432/378 = 502/378
502/378 simplified gives 251/189
So, 10/54 + 48/42 = 251/189
In mixed form: 162/189

MathStep (Works offline)

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