Add 16/40 and 21/49
16/40 + 21/49 is 29/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
16/40 = 16 × 49/40 × 49 = 784/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
21/49 = 21 × 40/49 × 40 = 840/1960 - Add the two like fractions:
784/1960 + 840/1960 = 784 + 840/1960 = 1624/1960 - 1624/1960 simplified gives 29/35
- So, 16/40 + 21/49 = 29/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/40+21/49 16/40+42/49 16/80+21/49 16/40+21/98 48/40+21/49 16/40+63/49 80/40+21/49