Add 7/40 and 30/14
1st number: 7/40, 2nd number: 2 2/14
7/40 + 30/14 is 649/280.
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,
7/40 = 7 × 7/40 × 7 = 49/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Add the two like fractions:
49/280 + 600/280 = 49 + 600/280 = 649/280 - So, 7/40 + 30/14 = 649/280
In mixed form: 289/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/40+30/14 7/40+60/14 7/80+30/14 7/40+30/28 21/40+30/14 7/40+90/14 7/40+30/42 35/40+30/14 7/40+30/70 49/40+30/14 7/40+30/98