Add 16/35 and 18/21
16/35 + 18/21 is 46/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 35 × 3 = 105,
16/35 = 16 × 3/35 × 3 = 48/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
18/21 = 18 × 5/21 × 5 = 90/105 - Add the two like fractions:
48/105 + 90/105 = 48 + 90/105 = 138/105 - 138/105 simplified gives 46/35
- So, 16/35 + 18/21 = 46/35
In mixed form: 111/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/35+18/21 16/35+36/21 16/70+18/21 16/35+18/42 48/35+18/21 16/35+54/21 16/35+18/63 80/35+18/21 16/35+90/21