Add 9/49 and 42/40
1st number: 9/49, 2nd number: 1 2/40
9/49 + 42/40 is 1209/980.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
9/49 = 9 × 40/49 × 40 = 360/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Add the two like fractions:
360/1960 + 2058/1960 = 360 + 2058/1960 = 2418/1960 - 2418/1960 simplified gives 1209/980
- So, 9/49 + 42/40 = 1209/980
In mixed form: 1229/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/49+42/40 9/49+84/40 9/98+42/40 9/49+42/80 27/49+42/40 45/49+42/40 63/49+42/40