Add 12/40 and 36/49
12/40 + 36/49 is 507/490.
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,
12/40 = 12 × 49/40 × 49 = 588/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
36/49 = 36 × 40/49 × 40 = 1440/1960 - Add the two like fractions:
588/1960 + 1440/1960 = 588 + 1440/1960 = 2028/1960 - 2028/1960 simplified gives 507/490
- So, 12/40 + 36/49 = 507/490
In mixed form: 117/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/40+36/49 12/40+72/49 12/80+36/49 12/40+36/98 36/40+36/49 60/40+36/49 84/40+36/49