Add 16/30 and 21/40
16/30 + 21/40 is 127/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
16/30 = 16 × 4/30 × 4 = 64/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
21/40 = 21 × 3/40 × 3 = 63/120 - Add the two like fractions:
64/120 + 63/120 = 64 + 63/120 = 127/120 - So, 16/30 + 21/40 = 127/120
In mixed form: 17/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/30+21/40 16/30+42/40 16/60+21/40 16/30+21/80 48/30+21/40 16/30+63/40 16/90+21/40 80/30+21/40