Add 3/16 and 40/35, Solve 3/16 + 1 5/35 as a fraction

Add 3/16 and 40/35

1^st number: 3/16, 2^nd number: 1 5/35

3/16 + 40/35 is 149/112.

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,
3/16 = 3 × 35/16 × 35 = 105/560
Likewise, for the 2nd fraction, since 35 × 16 = 560,
40/35 = 40 × 16/35 × 16 = 640/560
Add the two like fractions:
105/560 + 640/560 = 105 + 640/560 = 745/560
745/560 simplified gives 149/112
So, 3/16 + 40/35 = 149/112
In mixed form: 137/112

MathStep (Works offline)

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