Add 10/21 and 49/10, Solve 10/21 + 4 9/10 as a fraction

Add 10/21 and 49/10

1^st number: 10/21, 2^nd number: 4 9/10

10/21 + 49/10 is 1129/210.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 10 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 21 × 10 = 210,
10/21 = 10 × 10/21 × 10 = 100/210
Likewise, for the 2nd fraction, since 10 × 21 = 210,
49/10 = 49 × 21/10 × 21 = 1029/210
Add the two like fractions:
100/210 + 1029/210 = 100 + 1029/210 = 1129/210
So, 10/21 + 49/10 = 1129/210
In mixed form: 579/210

MathStep (Works offline)

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