Add 14/21 and 14/49
14/21 + 14/49 is 20/21.
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,
14/21 = 14 × 7/21 × 7 = 98/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
98/147 + 42/147 = 98 + 42/147 = 140/147 - 140/147 simplified gives 20/21
- So, 14/21 + 14/49 = 20/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+14/49 14/21+28/49 14/42+14/49 14/21+14/98 42/21+14/49 14/21+42/49 14/63+14/49 70/21+14/49 14/21+70/49 98/21+14/49 14/21+98/49