Add 42/49 and 27/16
1st number: 42/49, 2nd number: 1 11/16
42/49 + 27/16 is 285/112.
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,
42/49 = 42 × 16/49 × 16 = 672/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
27/16 = 27 × 49/16 × 49 = 1323/784 - Add the two like fractions:
672/784 + 1323/784 = 672 + 1323/784 = 1995/784 - 1995/784 simplified gives 285/112
- So, 42/49 + 27/16 = 285/112
In mixed form: 261/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/49+27/16 42/49+54/16 42/98+27/16 42/49+27/32 42/49+81/16 42/49+27/48 42/49+27/80