Add 35/56 and 28/16, Solve 35/56 + 1 12/16 as a fraction

Add 35/56 and 28/16

1^st number: 35/56, 2^nd number: 1 12/16

35/56 + 28/16 is 19/8.

Find the least common denominator or LCM of the two denominators:
LCM of 56 and 16 is 112

Next, find the equivalent fraction of both fractional numbers with denominator 112
For the 1st fraction, since 56 × 2 = 112,
35/56 = 35 × 2/56 × 2 = 70/112
Likewise, for the 2nd fraction, since 16 × 7 = 112,
28/16 = 28 × 7/16 × 7 = 196/112
Add the two like fractions:
70/112 + 196/112 = 70 + 196/112 = 266/112
266/112 simplified gives 19/8
So, 35/56 + 28/16 = 19/8
In mixed form: 23/8

MathStep (Works offline)

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