Add 25/30 and 30/7, Solve 25/30 + 4 2/7 as a fraction

Add 25/30 and 30/7

1^st number: 25/30, 2^nd number: 4 2/7

25/30 + 30/7 is 215/42.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 30 × 7 = 210,
25/30 = 25 × 7/30 × 7 = 175/210
Likewise, for the 2nd fraction, since 7 × 30 = 210,
30/7 = 30 × 30/7 × 30 = 900/210
Add the two like fractions:
175/210 + 900/210 = 175 + 900/210 = 1075/210
1075/210 simplified gives 215/42
So, 25/30 + 30/7 = 215/42
In mixed form: 55/42

MathStep (Works offline)

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