Add 96/30 and 14/84, Solve 3 6/30 + 14/84 as a fraction

Add 96/30 and 14/84

1^st number: 3 6/30, 2^nd number: 14/84

96/30 + 14/84 is 101/30.

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

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 30 × 14 = 420,
96/30 = 96 × 14/30 × 14 = 1344/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
14/84 = 14 × 5/84 × 5 = 70/420
Add the two like fractions:
1344/420 + 70/420 = 1344 + 70/420 = 1414/420
1414/420 simplified gives 101/30
So, 96/30 + 14/84 = 101/30
In mixed form: 311/30

MathStep (Works offline)

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