Add 9/42 and 16/49
9/42 + 16/49 is 53/98.
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,
9/42 = 9 × 7/42 × 7 = 63/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
16/49 = 16 × 6/49 × 6 = 96/294 - Add the two like fractions:
63/294 + 96/294 = 63 + 96/294 = 159/294 - 159/294 simplified gives 53/98
- So, 9/42 + 16/49 = 53/98
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/42+16/49 9/42+32/49 9/84+16/49 9/42+16/98 27/42+16/49 9/42+48/49 45/42+16/49 9/42+80/49 63/42+16/49