Add 21/40 and 18/14
1st number: 21/40, 2nd number: 1 4/14
21/40 + 18/14 is 507/280.
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,
21/40 = 21 × 7/40 × 7 = 147/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
18/14 = 18 × 20/14 × 20 = 360/280 - Add the two like fractions:
147/280 + 360/280 = 147 + 360/280 = 507/280 - So, 21/40 + 18/14 = 507/280
In mixed form: 1227/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/40+18/14 21/40+36/14 21/80+18/14 21/40+18/28 63/40+18/14 21/40+54/14 21/40+18/42 21/40+90/14 21/40+18/70 21/40+18/98