Add 14/40 and 12/49
14/40 + 12/49 is 583/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
14/40 = 14 × 49/40 × 49 = 686/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
12/49 = 12 × 40/49 × 40 = 480/1960 - Add the two like fractions:
686/1960 + 480/1960 = 686 + 480/1960 = 1166/1960 - 1166/1960 simplified gives 583/980
- So, 14/40 + 12/49 = 583/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/40+12/49 14/40+24/49 14/80+12/49 14/40+12/98 42/40+12/49 14/40+36/49 70/40+12/49 14/40+60/49 98/40+12/49 14/40+84/49