Add 40/75 and 49/12
1st number: 40/75, 2nd number: 4 1/12
40/75 + 49/12 is 277/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
49/12 = 49 × 25/12 × 25 = 1225/300 - Add the two like fractions:
160/300 + 1225/300 = 160 + 1225/300 = 1385/300 - 1385/300 simplified gives 277/60
- So, 40/75 + 49/12 = 277/60
In mixed form: 437/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+49/12 40/75+98/12 40/75+49/24 40/75+49/36 40/75+49/60 40/75+49/84