Add 72/70 and 70/30, Solve 1 2/70 + 2 10/30 as a fraction

Add 72/70 and 70/30

1^st number: 1 2/70, 2^nd number: 2 10/30

72/70 + 70/30 is 353/105.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 70 × 3 = 210,
72/70 = 72 × 3/70 × 3 = 216/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
70/30 = 70 × 7/30 × 7 = 490/210
Add the two like fractions:
216/210 + 490/210 = 216 + 490/210 = 706/210
706/210 simplified gives 353/105
So, 72/70 + 70/30 = 353/105
In mixed form: 338/105

MathStep (Works offline)

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