Add 8/84 and 49/30, Solve 8/84 + 1 19/30 as a fraction

Add 8/84 and 49/30

1^st number: 8/84, 2^nd number: 1 19/30

8/84 + 49/30 is 121/70.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
8/84 = 8 × 5/84 × 5 = 40/420
Likewise, for the 2nd fraction, since 30 × 14 = 420,
49/30 = 49 × 14/30 × 14 = 686/420
Add the two like fractions:
40/420 + 686/420 = 40 + 686/420 = 726/420
726/420 simplified gives 121/70
So, 8/84 + 49/30 = 121/70
In mixed form: 151/70

MathStep (Works offline)

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