Add 75/84 and 27/16
1st number: 75/84, 2nd number: 1 11/16
75/84 + 27/16 is 289/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 84 × 4 = 336,
75/84 = 75 × 4/84 × 4 = 300/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
27/16 = 27 × 21/16 × 21 = 567/336 - Add the two like fractions:
300/336 + 567/336 = 300 + 567/336 = 867/336 - 867/336 simplified gives 289/112
- So, 75/84 + 27/16 = 289/112
In mixed form: 265/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+54/16 75/84+27/32 75/84+81/16 75/84+27/48 75/84+27/80