Add 30/14 and 42/32
1st number: 2 2/14, 2nd number: 1 10/32
30/14 + 42/32 is 387/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 32 is 224
Next, find the equivalent fraction of both fractional numbers with denominator 224 - For the 1st fraction, since 14 × 16 = 224,
30/14 = 30 × 16/14 × 16 = 480/224 - Likewise, for the 2nd fraction, since 32 × 7 = 224,
42/32 = 42 × 7/32 × 7 = 294/224 - Add the two like fractions:
480/224 + 294/224 = 480 + 294/224 = 774/224 - 774/224 simplified gives 387/112
- So, 30/14 + 42/32 = 387/112
In mixed form: 351/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+42/32 30/14+84/32 30/28+42/32 30/14+42/64 90/14+42/32 30/42+42/32 30/14+42/96 30/70+42/32 30/98+42/32