Add 9/14 and 16/35
9/14 + 16/35 is 11/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
9/14 = 9 × 5/14 × 5 = 45/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
16/35 = 16 × 2/35 × 2 = 32/70 - Add the two like fractions:
45/70 + 32/70 = 45 + 32/70 = 77/70 - 77/70 simplified gives 11/10
- So, 9/14 + 16/35 = 11/10
In mixed form: 11/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/14+16/35 9/14+32/35 9/28+16/35 9/14+16/70 27/14+16/35 9/14+48/35 9/42+16/35 45/14+16/35 9/14+80/35 9/70+16/35 63/14+16/35 9/98+16/35