Add 42/54 and 45/42, Solve 42/54 + 1 3/42 as a fraction

Add 42/54 and 45/42

1^st number: 42/54, 2^nd number: 1 3/42

42/54 + 45/42 is 233/126.

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,
42/54 = 42 × 7/54 × 7 = 294/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378
Add the two like fractions:
294/378 + 405/378 = 294 + 405/378 = 699/378
699/378 simplified gives 233/126
So, 42/54 + 45/42 = 233/126
In mixed form: 1107/126

MathStep (Works offline)

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