Add 27/16 and 9/49
1st number: 1 11/16, 2nd number: 9/49
27/16 + 9/49 is 1467/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
27/16 = 27 × 49/16 × 49 = 1323/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
9/49 = 9 × 16/49 × 16 = 144/784 - Add the two like fractions:
1323/784 + 144/784 = 1323 + 144/784 = 1467/784 - So, 27/16 + 9/49 = 1467/784
In mixed form: 1683/784
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/16+9/49 27/16+18/49 27/32+9/49 27/16+9/98 81/16+9/49 27/16+27/49 27/48+9/49 27/16+45/49 27/80+9/49 27/16+63/49