Add 4/21 and 14/49
4/21 + 14/49 is 10/21.
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,
4/21 = 4 × 7/21 × 7 = 28/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
28/147 + 42/147 = 28 + 42/147 = 70/147 - 70/147 simplified gives 10/21
- So, 4/21 + 14/49 = 10/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/21+14/49 4/21+28/49 4/42+14/49 4/21+14/98 12/21+14/49 4/21+42/49 4/63+14/49 20/21+14/49 4/21+70/49 28/21+14/49 4/21+98/49