Add 10/9 and 36/49, Solve 1 1/9 + 36/49 as a fraction

Add 10/9 and 36/49

1^st number: 1 1/9, 2^nd number: 36/49

10/9 + 36/49 is 814/441.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 9 × 49 = 441,
10/9 = 10 × 49/9 × 49 = 490/441
Likewise, for the 2nd fraction, since 49 × 9 = 441,
36/49 = 36 × 9/49 × 9 = 324/441
Add the two like fractions:
490/441 + 324/441 = 490 + 324/441 = 814/441
So, 10/9 + 36/49 = 814/441
In mixed form: 1373/441

MathStep (Works offline)

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