Add 10/84 and 98/9, Solve 10/84 + 10 8/9 as a fraction

Add 10/84 and 98/9

1^st number: 10/84, 2^nd number: 10 8/9

10/84 + 98/9 is 1387/126.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 84 × 3 = 252,
10/84 = 10 × 3/84 × 3 = 30/252
Likewise, for the 2nd fraction, since 9 × 28 = 252,
98/9 = 98 × 28/9 × 28 = 2744/252
Add the two like fractions:
30/252 + 2744/252 = 30 + 2744/252 = 2774/252
2774/252 simplified gives 1387/126
So, 10/84 + 98/9 = 1387/126
In mixed form: 111/126

MathStep (Works offline)

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