Add 6/27 and 40/42
6/27 + 40/42 is 74/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
6/27 = 6 × 14/27 × 14 = 84/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
84/378 + 360/378 = 84 + 360/378 = 444/378 - 444/378 simplified gives 74/63
- So, 6/27 + 40/42 = 74/63
In mixed form: 111/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 12/27+40/42 6/27+80/42 6/54+40/42 6/27+40/84 18/27+40/42 6/81+40/42 30/27+40/42 42/27+40/42