Add 16/7 and 70/30, Solve 2 2/7 + 2 10/30 as a fraction

Add 16/7 and 70/30

1^st number: 2 2/7, 2^nd number: 2 10/30

16/7 + 70/30 is 97/21.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 7 × 30 = 210,
16/7 = 16 × 30/7 × 30 = 480/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
70/30 = 70 × 7/30 × 7 = 490/210
Add the two like fractions:
480/210 + 490/210 = 480 + 490/210 = 970/210
970/210 simplified gives 97/21
So, 16/7 + 70/30 = 97/21
In mixed form: 413/21

MathStep (Works offline)

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