Add 40/75 and 49/18
1st number: 40/75, 2nd number: 2 13/18
40/75 + 49/18 is 293/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
49/18 = 49 × 25/18 × 25 = 1225/450 - Add the two like fractions:
240/450 + 1225/450 = 240 + 1225/450 = 1465/450 - 1465/450 simplified gives 293/90
- So, 40/75 + 49/18 = 293/90
In mixed form: 323/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+49/18 40/75+98/18 40/75+49/36 40/75+49/54 40/75+49/90