Add 7/35 and 21/10, Solve 7/35 + 2 1/10 as a fraction

Add 7/35 and 21/10

1^st number: 7/35, 2^nd number: 2 1/10

7/35 + 21/10 is 23/10.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 10 is 70

Next, find the equivalent fraction of both fractional numbers with denominator 70
For the 1st fraction, since 35 × 2 = 70,
7/35 = 7 × 2/35 × 2 = 14/70
Likewise, for the 2nd fraction, since 10 × 7 = 70,
21/10 = 21 × 7/10 × 7 = 147/70
Add the two like fractions:
14/70 + 147/70 = 14 + 147/70 = 161/70
161/70 simplified gives 23/10
So, 7/35 + 21/10 = 23/10
In mixed form: 23/10

MathStep (Works offline)

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