Add 21/49 and 40/16
1st number: 21/49, 2nd number: 2 8/16
21/49 + 40/16 is 41/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
21/49 = 21 × 16/49 × 16 = 336/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
40/16 = 40 × 49/16 × 49 = 1960/784 - Add the two like fractions:
336/784 + 1960/784 = 336 + 1960/784 = 2296/784 - 2296/784 simplified gives 41/14
- So, 21/49 + 40/16 = 41/14
In mixed form: 213/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+40/16 21/49+80/16 21/98+40/16 21/49+40/32 63/49+40/16 21/49+40/48 21/49+40/80