Add 56/21 and 20/45
1st number: 2 14/21, 2nd number: 20/45
56/21 + 20/45 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
56/21 = 56 × 15/21 × 15 = 840/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
20/45 = 20 × 7/45 × 7 = 140/315 - Add the two like fractions:
840/315 + 140/315 = 840 + 140/315 = 980/315 - 980/315 simplified gives 28/9
- So, 56/21 + 20/45 = 28/9
In mixed form: 31/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/21+40/45 56/42+20/45 56/21+20/90 56/21+60/45 56/63+20/45