Add 27/42 and 40/49
27/42 + 40/49 is 143/98.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
27/42 = 27 × 7/42 × 7 = 189/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
40/49 = 40 × 6/49 × 6 = 240/294 - Add the two like fractions:
189/294 + 240/294 = 189 + 240/294 = 429/294 - 429/294 simplified gives 143/98
- So, 27/42 + 40/49 = 143/98
In mixed form: 145/98
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+40/49 27/42+80/49 27/84+40/49 27/42+40/98 81/42+40/49