Add 63/54 and 45/42, Solve 1 9/54 + 1 3/42 as a fraction

Add 63/54 and 45/42

1^st number: 1 9/54, 2^nd number: 1 3/42

63/54 + 45/42 is 47/21.

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,
63/54 = 63 × 7/54 × 7 = 441/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378
Add the two like fractions:
441/378 + 405/378 = 441 + 405/378 = 846/378
846/378 simplified gives 47/21
So, 63/54 + 45/42 = 47/21
In mixed form: 25/21

MathStep (Works offline)

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