Add 30/14 and 9/63, Solve 2 2/14 + 9/63 as a fraction

Add 30/14 and 9/63

1^st number: 2 2/14, 2^nd number: 9/63

30/14 + 9/63 is 16/7.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 63 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
9/63 = 9 × 2/63 × 2 = 18/126
Add the two like fractions:
270/126 + 18/126 = 270 + 18/126 = 288/126
288/126 simplified gives 16/7
So, 30/14 + 9/63 = 16/7
In mixed form: 22/7

MathStep (Works offline)

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