Add 3/10 and 63/49, Solve 3/10 + 1 14/49 as a fraction

Add 3/10 and 63/49

1^st number: 3/10, 2^nd number: 1 14/49

3/10 + 63/49 is 111/70.

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,
3/10 = 3 × 49/10 × 49 = 147/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
63/49 = 63 × 10/49 × 10 = 630/490
Add the two like fractions:
147/490 + 630/490 = 147 + 630/490 = 777/490
777/490 simplified gives 111/70
So, 3/10 + 63/49 = 111/70
In mixed form: 141/70

MathStep (Works offline)

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