Add 72/84 and 21/35
72/84 + 21/35 is 51/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
72/84 = 72 × 5/84 × 5 = 360/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
21/35 = 21 × 12/35 × 12 = 252/420 - Add the two like fractions:
360/420 + 252/420 = 360 + 252/420 = 612/420 - 612/420 simplified gives 51/35
- So, 72/84 + 21/35 = 51/35
In mixed form: 116/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/84+42/35 72/84+21/70 72/84+63/35