Add 8/35 and 70/42, Solve 8/35 + 1 28/42 as a fraction

Add 8/35 and 70/42

1^st number: 8/35, 2^nd number: 1 28/42

8/35 + 70/42 is 199/105.

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,
8/35 = 8 × 6/35 × 6 = 48/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
70/42 = 70 × 5/42 × 5 = 350/210
Add the two like fractions:
48/210 + 350/210 = 48 + 350/210 = 398/210
398/210 simplified gives 199/105
So, 8/35 + 70/42 = 199/105
In mixed form: 194/105

MathStep (Works offline)

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