Add 36/7 and 21/30, Solve 5 1/7 + 21/30 as a fraction

Add 36/7 and 21/30

1^st number: 5 1/7, 2^nd number: 21/30

36/7 + 21/30 is 409/70.

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,
36/7 = 36 × 30/7 × 30 = 1080/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210
Add the two like fractions:
1080/210 + 147/210 = 1080 + 147/210 = 1227/210
1227/210 simplified gives 409/70
So, 36/7 + 21/30 = 409/70
In mixed form: 559/70

MathStep (Works offline)

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