Add 40/18 and 54/42
1st number: 2 4/18, 2nd number: 1 12/42
40/18 + 54/42 is 221/63.
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,
40/18 = 40 × 7/18 × 7 = 280/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
54/42 = 54 × 3/42 × 3 = 162/126 - Add the two like fractions:
280/126 + 162/126 = 280 + 162/126 = 442/126 - 442/126 simplified gives 221/63
- So, 40/18 + 54/42 = 221/63
In mixed form: 332/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/18+54/42 40/36+54/42 40/18+54/84 40/54+54/42 40/90+54/42