Add 9/40 and 15/49
9/40 + 15/49 is 1041/1960.
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,
9/40 = 9 × 49/40 × 49 = 441/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
15/49 = 15 × 40/49 × 40 = 600/1960 - Add the two like fractions:
441/1960 + 600/1960 = 441 + 600/1960 = 1041/1960 - So, 9/40 + 15/49 = 1041/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/40+15/49 9/40+30/49 9/80+15/49 9/40+15/98 27/40+15/49 9/40+45/49 45/40+15/49 9/40+75/49 63/40+15/49