Add 10/14 and 45/16, Solve 10/14 + 2 13/16 as a fraction

Add 10/14 and 45/16

1^st number: 10/14, 2^nd number: 2 13/16

10/14 + 45/16 is 395/112.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 14 × 8 = 112,
10/14 = 10 × 8/14 × 8 = 80/112
Likewise, for the 2nd fraction, since 16 × 7 = 112,
45/16 = 45 × 7/16 × 7 = 315/112
Add the two like fractions:
80/112 + 315/112 = 80 + 315/112 = 395/112
So, 10/14 + 45/16 = 395/112
In mixed form: 359/112

MathStep (Works offline)

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