Add 10/49 and 30/8, Solve 10/49 + 3 6/8 as a fraction

Add 10/49 and 30/8

1^st number: 10/49, 2^nd number: 3 6/8

10/49 + 30/8 is 775/196.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 8 is 392

Next, find the equivalent fraction of both fractional numbers with denominator 392
For the 1st fraction, since 49 × 8 = 392,
10/49 = 10 × 8/49 × 8 = 80/392
Likewise, for the 2nd fraction, since 8 × 49 = 392,
30/8 = 30 × 49/8 × 49 = 1470/392
Add the two like fractions:
80/392 + 1470/392 = 80 + 1470/392 = 1550/392
1550/392 simplified gives 775/196
So, 10/49 + 30/8 = 775/196
In mixed form: 3187/196

MathStep (Works offline)

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