Add 98/18 and 49/21, Solve 5 8/18 + 2 7/21 as a fraction

Add 98/18 and 49/21

1^st number: 5 8/18, 2^nd number: 2 7/21

98/18 + 49/21 is 70/9.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
98/18 = 98 × 7/18 × 7 = 686/126
Likewise, for the 2nd fraction, since 21 × 6 = 126,
49/21 = 49 × 6/21 × 6 = 294/126
Add the two like fractions:
686/126 + 294/126 = 686 + 294/126 = 980/126
980/126 simplified gives 70/9
So, 98/18 + 49/21 = 70/9
In mixed form: 77/9

MathStep (Works offline)

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