Add 1/21 and 14/49
1/21 + 14/49 is 1/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
1/21 = 1 × 7/21 × 7 = 7/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
7/147 + 42/147 = 7 + 42/147 = 49/147 - 49/147 simplified gives 1/3
- So, 1/21 + 14/49 = 1/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/21+14/49 1/21+28/49 1/42+14/49 1/21+14/98 3/21+14/49 1/21+42/49 1/63+14/49 5/21+14/49 1/21+70/49 7/21+14/49 1/21+98/49