Add 60/63 and 42/54, Solve 60/63 + 42/54 as a fraction

Add 60/63 and 42/54

60/63 + 42/54 is 109/63.

Find the least common denominator or LCM of the two denominators:
LCM of 63 and 54 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 63 × 6 = 378,
60/63 = 60 × 6/63 × 6 = 360/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
42/54 = 42 × 7/54 × 7 = 294/378
Add the two like fractions:
360/378 + 294/378 = 360 + 294/378 = 654/378
654/378 simplified gives 109/63
So, 60/63 + 42/54 = 109/63
In mixed form: 146/63

MathStep (Works offline)

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