Add 14/7 and 35/32, Solve 2 0/7 + 1 3/32 as a fraction

Add 14/7 and 35/32

1^st number: 2 0/7, 2^nd number: 1 3/32

14/7 + 35/32 is 99/32.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 32 is 224

Next, find the equivalent fraction of both fractional numbers with denominator 224
For the 1st fraction, since 7 × 32 = 224,
14/7 = 14 × 32/7 × 32 = 448/224
Likewise, for the 2nd fraction, since 32 × 7 = 224,
35/32 = 35 × 7/32 × 7 = 245/224
Add the two like fractions:
448/224 + 245/224 = 448 + 245/224 = 693/224
693/224 simplified gives 99/32
So, 14/7 + 35/32 = 99/32
In mixed form: 33/32

MathStep (Works offline)

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