Add 1/42 and 70/15, Solve 1/42 + 4 10/15 as a fraction

Add 1/42 and 70/15

1^st number: 1/42, 2^nd number: 4 10/15

1/42 + 70/15 is 197/42.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 15 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 42 × 5 = 210,
1/42 = 1 × 5/42 × 5 = 5/210
Likewise, for the 2nd fraction, since 15 × 14 = 210,
70/15 = 70 × 14/15 × 14 = 980/210
Add the two like fractions:
5/210 + 980/210 = 5 + 980/210 = 985/210
985/210 simplified gives 197/42
So, 1/42 + 70/15 = 197/42
In mixed form: 429/42

MathStep (Works offline)

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