Add 3/84 and 96/10, Solve 3/84 + 9 6/10 as a fraction

Add 3/84 and 96/10

1^st number: 3/84, 2^nd number: 9 6/10

3/84 + 96/10 is 1349/140.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
3/84 = 3 × 5/84 × 5 = 15/420
Likewise, for the 2nd fraction, since 10 × 42 = 420,
96/10 = 96 × 42/10 × 42 = 4032/420
Add the two like fractions:
15/420 + 4032/420 = 15 + 4032/420 = 4047/420
4047/420 simplified gives 1349/140
So, 3/84 + 96/10 = 1349/140
In mixed form: 989/140

MathStep (Works offline)

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