Add 10/49 and 98/18, Solve 10/49 + 5 8/18 as a fraction

Add 10/49 and 98/18

1^st number: 10/49, 2^nd number: 5 8/18

10/49 + 98/18 is 2491/441.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 49 × 18 = 882,
10/49 = 10 × 18/49 × 18 = 180/882
Likewise, for the 2nd fraction, since 18 × 49 = 882,
98/18 = 98 × 49/18 × 49 = 4802/882
Add the two like fractions:
180/882 + 4802/882 = 180 + 4802/882 = 4982/882
4982/882 simplified gives 2491/441
So, 10/49 + 98/18 = 2491/441
In mixed form: 5286/441

MathStep (Works offline)

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