Add 27/7 and 49/40
1st number: 3 6/7, 2nd number: 1 9/40
27/7 + 49/40 is 1423/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
27/7 = 27 × 40/7 × 40 = 1080/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Add the two like fractions:
1080/280 + 343/280 = 1080 + 343/280 = 1423/280 - So, 27/7 + 49/40 = 1423/280
In mixed form: 523/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/7+49/40 27/7+98/40 27/14+49/40 27/7+49/80 81/7+49/40 27/21+49/40 27/35+49/40 27/49+49/40