Add 49/20 and 27/21
1st number: 2 9/20, 2nd number: 1 6/21
49/20 + 27/21 is 523/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
49/20 = 49 × 21/20 × 21 = 1029/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
27/21 = 27 × 20/21 × 20 = 540/420 - Add the two like fractions:
1029/420 + 540/420 = 1029 + 540/420 = 1569/420 - 1569/420 simplified gives 523/140
- So, 49/20 + 27/21 = 523/140
In mixed form: 3103/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/20+27/21 49/20+54/21 49/40+27/21 49/20+27/42 49/20+81/21 49/60+27/21 49/20+27/63