Add 1/7 and 48/30, Solve 1/7 + 1 18/30 as a fraction

Add 1/7 and 48/30

1^st number: 1/7, 2^nd number: 1 18/30

1/7 + 48/30 is 61/35.

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,
1/7 = 1 × 30/7 × 30 = 30/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
48/30 = 48 × 7/30 × 7 = 336/210
Add the two like fractions:
30/210 + 336/210 = 30 + 336/210 = 366/210
366/210 simplified gives 61/35
So, 1/7 + 48/30 = 61/35
In mixed form: 126/35

MathStep (Works offline)

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