Add 3/42 and 21/49
3/42 + 21/49 is 1/2.
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,
3/42 = 3 × 7/42 × 7 = 21/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
21/49 = 21 × 6/49 × 6 = 126/294 - Add the two like fractions:
21/294 + 126/294 = 21 + 126/294 = 147/294 - 147/294 simplified gives 1/2
- So, 3/42 + 21/49 = 1/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/42+21/49 3/42+42/49 3/84+21/49 3/42+21/98 9/42+21/49 3/42+63/49 15/42+21/49 21/42+21/49