Add 40/14 and 75/18
1st number: 2 12/14, 2nd number: 4 3/18
40/14 + 75/18 is 295/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
40/14 = 40 × 9/14 × 9 = 360/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126 - Add the two like fractions:
360/126 + 525/126 = 360 + 525/126 = 885/126 - 885/126 simplified gives 295/42
- So, 40/14 + 75/18 = 295/42
In mixed form: 71/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/14+75/18 40/28+75/18 40/14+75/36 40/42+75/18 40/14+75/54 40/70+75/18 40/14+75/90 40/98+75/18