Add 25/7 and 32/30, Solve 3 4/7 + 1 2/30 as a fraction

Add 25/7 and 32/30

1^st number: 3 4/7, 2^nd number: 1 2/30

25/7 + 32/30 is 487/105.

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,
25/7 = 25 × 30/7 × 30 = 750/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
32/30 = 32 × 7/30 × 7 = 224/210
Add the two like fractions:
750/210 + 224/210 = 750 + 224/210 = 974/210
974/210 simplified gives 487/105
So, 25/7 + 32/30 = 487/105
In mixed form: 467/105

MathStep (Works offline)

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