Add 90/42 and 20/9, Solve 2 6/42 + 2 2/9 as a fraction

Add 90/42 and 20/9

1^st number: 2 6/42, 2^nd number: 2 2/9

90/42 + 20/9 is 275/63.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
90/42 = 90 × 3/42 × 3 = 270/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
20/9 = 20 × 14/9 × 14 = 280/126
Add the two like fractions:
270/126 + 280/126 = 270 + 280/126 = 550/126
550/126 simplified gives 275/63
So, 90/42 + 20/9 = 275/63
In mixed form: 423/63

MathStep (Works offline)

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