Add 36/35 and 4/12, Solve 1 1/35 + 4/12 as a fraction

Add 36/35 and 4/12

1^st number: 1 1/35, 2^nd number: 4/12

36/35 + 4/12 is 143/105.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 35 × 12 = 420,
36/35 = 36 × 12/35 × 12 = 432/420
Likewise, for the 2nd fraction, since 12 × 35 = 420,
4/12 = 4 × 35/12 × 35 = 140/420
Add the two like fractions:
432/420 + 140/420 = 432 + 140/420 = 572/420
572/420 simplified gives 143/105
So, 36/35 + 4/12 = 143/105
In mixed form: 138/105

MathStep (Works offline)

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