Add 35/14 and 30/16
1st number: 2 7/14, 2nd number: 1 14/16
35/14 + 30/16 is 35/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 14 × 8 = 112,
35/14 = 35 × 8/14 × 8 = 280/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
30/16 = 30 × 7/16 × 7 = 210/112 - Add the two like fractions:
280/112 + 210/112 = 280 + 210/112 = 490/112 - 490/112 simplified gives 35/8
- So, 35/14 + 30/16 = 35/8
In mixed form: 43/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+30/16 35/14+60/16 35/28+30/16 35/14+30/32 35/14+90/16 35/42+30/16 35/14+30/48 35/70+30/16 35/14+30/80 35/98+30/16