Add 12/35 and 90/42, Solve 12/35 + 2 6/42 as a fraction

Add 12/35 and 90/42

1^st number: 12/35, 2^nd number: 2 6/42

12/35 + 90/42 is 87/35.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
12/35 = 12 × 6/35 × 6 = 72/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
90/42 = 90 × 5/42 × 5 = 450/210
Add the two like fractions:
72/210 + 450/210 = 72 + 450/210 = 522/210
522/210 simplified gives 87/35
So, 12/35 + 90/42 = 87/35
In mixed form: 217/35

MathStep (Works offline)

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