Add 40/7 and 9/40
1st number: 5 5/7, 2nd number: 9/40
40/7 + 9/40 is 1663/280.
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,
40/7 = 40 × 40/7 × 40 = 1600/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
9/40 = 9 × 7/40 × 7 = 63/280 - Add the two like fractions:
1600/280 + 63/280 = 1600 + 63/280 = 1663/280 - So, 40/7 + 9/40 = 1663/280
In mixed form: 5263/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/7+9/40 40/7+18/40 40/14+9/40 40/7+9/80 40/7+27/40 40/21+9/40 40/7+45/40 40/35+9/40 40/7+63/40 40/49+9/40