Add 14/42 and 20/49
14/42 + 20/49 is 109/147.
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,
14/42 = 14 × 7/42 × 7 = 98/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
20/49 = 20 × 6/49 × 6 = 120/294 - Add the two like fractions:
98/294 + 120/294 = 98 + 120/294 = 218/294 - 218/294 simplified gives 109/147
- So, 14/42 + 20/49 = 109/147
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/42+20/49 14/42+40/49 14/84+20/49 14/42+20/98 14/42+60/49 70/42+20/49 98/42+20/49