Add 7/49 and 10/9, Solve 7/49 + 1 1/9 as a fraction

Add 7/49 and 10/9

1^st number: 7/49, 2^nd number: 1 1/9

7/49 + 10/9 is 79/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 49 × 9 = 441,
7/49 = 7 × 9/49 × 9 = 63/441
Likewise, for the 2nd fraction, since 9 × 49 = 441,
10/9 = 10 × 49/9 × 49 = 490/441
Add the two like fractions:
63/441 + 490/441 = 63 + 490/441 = 553/441
553/441 simplified gives 79/63
So, 7/49 + 10/9 = 79/63
In mixed form: 116/63

MathStep (Works offline)

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