Add 9/42 and 75/54, Solve 9/42 + 1 21/54 as a fraction

Add 9/42 and 75/54

1^st number: 9/42, 2^nd number: 1 21/54

9/42 + 75/54 is 101/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
9/42 = 9 × 9/42 × 9 = 81/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
75/54 = 75 × 7/54 × 7 = 525/378
Add the two like fractions:
81/378 + 525/378 = 81 + 525/378 = 606/378
606/378 simplified gives 101/63
So, 9/42 + 75/54 = 101/63
In mixed form: 138/63

MathStep (Works offline)

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