Add 27/10 and 10/49, Solve 2 7/10 + 10/49 as a fraction

Add 27/10 and 10/49

1^st number: 2 7/10, 2^nd number: 10/49

27/10 + 10/49 is 1423/490.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
27/10 = 27 × 49/10 × 49 = 1323/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
10/49 = 10 × 10/49 × 10 = 100/490
Add the two like fractions:
1323/490 + 100/490 = 1323 + 100/490 = 1423/490
So, 27/10 + 10/49 = 1423/490
In mixed form: 2443/490

MathStep (Works offline)

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