Add 75/84 and 42/9
1st number: 75/84, 2nd number: 4 6/9
75/84 + 42/9 is 467/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
75/84 = 75 × 3/84 × 3 = 225/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
42/9 = 42 × 28/9 × 28 = 1176/252 - Add the two like fractions:
225/252 + 1176/252 = 225 + 1176/252 = 1401/252 - 1401/252 simplified gives 467/84
- So, 75/84 + 42/9 = 467/84
In mixed form: 547/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+84/9 75/84+42/18 75/84+42/27 75/84+42/45 75/84+42/63