Add 35/18 and 40/42
1st number: 1 17/18, 2nd number: 40/42
35/18 + 40/42 is 365/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
245/126 + 120/126 = 245 + 120/126 = 365/126 - So, 35/18 + 40/42 = 365/126
In mixed form: 2113/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/18+40/42 35/18+80/42 35/36+40/42 35/18+40/84 35/54+40/42 35/90+40/42