Add 75/10 and 21/84
1st number: 7 5/10, 2nd number: 21/84
75/10 + 21/84 is 31/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 10 × 42 = 420,
75/10 = 75 × 42/10 × 42 = 3150/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
3150/420 + 105/420 = 3150 + 105/420 = 3255/420 - 3255/420 simplified gives 31/4
- So, 75/10 + 21/84 = 31/4
In mixed form: 73/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/10+42/84 75/20+21/84 75/10+63/84 75/30+21/84 75/50+21/84 75/70+21/84