Add 40/49 and 27/16
1st number: 40/49, 2nd number: 1 11/16
40/49 + 27/16 is 1963/784.
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,
40/49 = 40 × 16/49 × 16 = 640/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
27/16 = 27 × 49/16 × 49 = 1323/784 - Add the two like fractions:
640/784 + 1323/784 = 640 + 1323/784 = 1963/784 - So, 40/49 + 27/16 = 1963/784
In mixed form: 2395/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+27/16 40/49+54/16 40/98+27/16 40/49+27/32 40/49+81/16 40/49+27/48 40/49+27/80