Add 21/9 and 98/28, Solve 2 3/9 + 3 14/28 as a fraction

Add 21/9 and 98/28

1^st number: 2 3/9, 2^nd number: 3 14/28

21/9 + 98/28 is 35/6.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
21/9 = 21 × 28/9 × 28 = 588/252
Likewise, for the 2nd fraction, since 28 × 9 = 252,
98/28 = 98 × 9/28 × 9 = 882/252
Add the two like fractions:
588/252 + 882/252 = 588 + 882/252 = 1470/252
1470/252 simplified gives 35/6
So, 21/9 + 98/28 = 35/6
In mixed form: 55/6

MathStep (Works offline)

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