Add 30/84 and 63/35, Solve 30/84 + 1 28/35 as a fraction

Add 30/84 and 63/35

1^st number: 30/84, 2^nd number: 1 28/35

30/84 + 63/35 is 151/70.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420
Likewise, for the 2nd fraction, since 35 × 12 = 420,
63/35 = 63 × 12/35 × 12 = 756/420
Add the two like fractions:
150/420 + 756/420 = 150 + 756/420 = 906/420
906/420 simplified gives 151/70
So, 30/84 + 63/35 = 151/70
In mixed form: 211/70

MathStep (Works offline)

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