Add 35/42 and 70/28, Solve 35/42 + 2 14/28 as a fraction

Add 35/42 and 70/28

1^st number: 35/42, 2^nd number: 2 14/28

35/42 + 70/28 is 10/3.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 28 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84
Likewise, for the 2nd fraction, since 28 × 3 = 84,
70/28 = 70 × 3/28 × 3 = 210/84
Add the two like fractions:
70/84 + 210/84 = 70 + 210/84 = 280/84
280/84 simplified gives 10/3
So, 35/42 + 70/28 = 10/3
In mixed form: 31/3

MathStep (Works offline)

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