Add 40/7 and 2/30, Solve 5 5/7 + 2/30 as a fraction

Add 40/7 and 2/30

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

40/7 + 2/30 is 607/105.

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,
40/7 = 40 × 30/7 × 30 = 1200/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
2/30 = 2 × 7/30 × 7 = 14/210
Add the two like fractions:
1200/210 + 14/210 = 1200 + 14/210 = 1214/210
1214/210 simplified gives 607/105
So, 40/7 + 2/30 = 607/105
In mixed form: 582/105

MathStep (Works offline)

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