Add 4/10 and 63/49, Solve 4/10 + 1 14/49 as a fraction

Add 4/10 and 63/49

1^st number: 4/10, 2^nd number: 1 14/49

4/10 + 63/49 is 59/35.

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,
4/10 = 4 × 49/10 × 49 = 196/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
63/49 = 63 × 10/49 × 10 = 630/490
Add the two like fractions:
196/490 + 630/490 = 196 + 630/490 = 826/490
826/490 simplified gives 59/35
So, 4/10 + 63/49 = 59/35
In mixed form: 124/35

MathStep (Works offline)

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