Add 14/40 and 10/14
14/40 + 10/14 is 149/140.
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,
14/40 = 14 × 7/40 × 7 = 98/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
10/14 = 10 × 20/14 × 20 = 200/280 - Add the two like fractions:
98/280 + 200/280 = 98 + 200/280 = 298/280 - 298/280 simplified gives 149/140
- So, 14/40 + 10/14 = 149/140
In mixed form: 19/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/40+10/14 14/40+20/14 14/80+10/14 14/40+10/28 42/40+10/14 14/40+30/14 14/40+10/42 70/40+10/14 14/40+50/14 14/40+10/70 98/40+10/14 14/40+70/14 14/40+10/98