Add 98/9 and 7/84, Solve 10 8/9 + 7/84 as a fraction

Add 98/9 and 7/84

1^st number: 10 8/9, 2^nd number: 7/84

98/9 + 7/84 is 395/36.

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

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
98/9 = 98 × 28/9 × 28 = 2744/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
7/84 = 7 × 3/84 × 3 = 21/252
Add the two like fractions:
2744/252 + 21/252 = 2744 + 21/252 = 2765/252
2765/252 simplified gives 395/36
So, 98/9 + 7/84 = 395/36
In mixed form: 1035/36

MathStep (Works offline)

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