Add 75/10 and 27/84
1st number: 7 5/10, 2nd number: 27/84
75/10 + 27/84 is 219/28.
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,
27/84 = 27 × 5/84 × 5 = 135/420 - Add the two like fractions:
3150/420 + 135/420 = 3150 + 135/420 = 3285/420 - 3285/420 simplified gives 219/28
- So, 75/10 + 27/84 = 219/28
In mixed form: 723/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/10+54/84 75/20+27/84 75/10+81/84 75/30+27/84 75/50+27/84 75/70+27/84