Add 9/40 and 42/49
9/40 + 42/49 is 303/280.
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,
42/49 = 42 × 40/49 × 40 = 1680/1960 - Add the two like fractions:
441/1960 + 1680/1960 = 441 + 1680/1960 = 2121/1960 - 2121/1960 simplified gives 303/280
- So, 9/40 + 42/49 = 303/280
In mixed form: 123/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/40+42/49 9/40+84/49 9/80+42/49 9/40+42/98 27/40+42/49 45/40+42/49 63/40+42/49