Add 50/7 and 21/18, Solve 7 1/7 + 1 3/18 as a fraction

Add 50/7 and 21/18

1^st number: 7 1/7, 2^nd number: 1 3/18

50/7 + 21/18 is 349/42.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 7 × 18 = 126,
50/7 = 50 × 18/7 × 18 = 900/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126
Add the two like fractions:
900/126 + 147/126 = 900 + 147/126 = 1047/126
1047/126 simplified gives 349/42
So, 50/7 + 21/18 = 349/42
In mixed form: 813/42

MathStep (Works offline)

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