Add 21/7 and 35/30, Solve 3 0/7 + 1 5/30 as a fraction

Add 21/7 and 35/30

1^st number: 3 0/7, 2^nd number: 1 5/30

21/7 + 35/30 is 25/6.

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,
21/7 = 21 × 30/7 × 30 = 630/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
35/30 = 35 × 7/30 × 7 = 245/210
Add the two like fractions:
630/210 + 245/210 = 630 + 245/210 = 875/210
875/210 simplified gives 25/6
So, 21/7 + 35/30 = 25/6
In mixed form: 41/6

MathStep (Works offline)

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