Add 42/9 and 75/21
1st number: 4 6/9, 2nd number: 3 12/21
42/9 + 75/21 is 173/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
42/9 = 42 × 7/9 × 7 = 294/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
75/21 = 75 × 3/21 × 3 = 225/63 - Add the two like fractions:
294/63 + 225/63 = 294 + 225/63 = 519/63 - 519/63 simplified gives 173/21
- So, 42/9 + 75/21 = 173/21
In mixed form: 85/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/9+75/21 42/18+75/21 42/9+75/42 42/27+75/21 42/9+75/63 42/45+75/21 42/63+75/21