Add 40/75 and 81/40
1st number: 40/75, 2nd number: 2 1/40
40/75 + 81/40 is 307/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
81/40 = 81 × 15/40 × 15 = 1215/600 - Add the two like fractions:
320/600 + 1215/600 = 320 + 1215/600 = 1535/600 - 1535/600 simplified gives 307/120
- So, 40/75 + 81/40 = 307/120
In mixed form: 267/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+81/40 40/75+81/80