Add 14/16 and 63/35, Solve 14/16 + 1 28/35 as a fraction

Add 14/16 and 63/35

1^st number: 14/16, 2^nd number: 1 28/35

14/16 + 63/35 is 107/40.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 35 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 16 × 35 = 560,
14/16 = 14 × 35/16 × 35 = 490/560
Likewise, for the 2nd fraction, since 35 × 16 = 560,
63/35 = 63 × 16/35 × 16 = 1008/560
Add the two like fractions:
490/560 + 1008/560 = 490 + 1008/560 = 1498/560
1498/560 simplified gives 107/40
So, 14/16 + 63/35 = 107/40
In mixed form: 227/40

MathStep (Works offline)

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