Add 75/84 and 42/56
75/84 + 42/56 is 23/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 84 × 2 = 168,
75/84 = 75 × 2/84 × 2 = 150/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
42/56 = 42 × 3/56 × 3 = 126/168 - Add the two like fractions:
150/168 + 126/168 = 150 + 126/168 = 276/168 - 276/168 simplified gives 23/14
- So, 75/84 + 42/56 = 23/14
In mixed form: 19/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+84/56