Add 49/40 and 9/14
1st number: 1 9/40, 2nd number: 9/14
49/40 + 9/14 is 523/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
9/14 = 9 × 20/14 × 20 = 180/280 - Add the two like fractions:
343/280 + 180/280 = 343 + 180/280 = 523/280 - So, 49/40 + 9/14 = 523/280
In mixed form: 1243/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/40+9/14 49/40+18/14 49/80+9/14 49/40+9/28 49/40+27/14 49/40+9/42 49/40+45/14 49/40+9/70 49/40+63/14 49/40+9/98