Add 4/7 and 27/40
4/7 + 27/40 is 349/280.
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,
4/7 = 4 × 40/7 × 40 = 160/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
27/40 = 27 × 7/40 × 7 = 189/280 - Add the two like fractions:
160/280 + 189/280 = 160 + 189/280 = 349/280 - So, 4/7 + 27/40 = 349/280
In mixed form: 169/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/7+27/40 4/7+54/40 4/14+27/40 4/7+27/80 12/7+27/40 4/7+81/40 4/21+27/40 20/7+27/40 4/35+27/40 28/7+27/40 4/49+27/40