Add 40/84 and 81/30
1st number: 40/84, 2nd number: 2 21/30
40/84 + 81/30 is 667/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
81/30 = 81 × 14/30 × 14 = 1134/420 - Add the two like fractions:
200/420 + 1134/420 = 200 + 1134/420 = 1334/420 - 1334/420 simplified gives 667/210
- So, 40/84 + 81/30 = 667/210
In mixed form: 337/210
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/84+81/30 40/84+81/60 40/84+81/90