Add 7/10 and 14/21
7/10 + 14/21 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 21 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
7/10 = 7 × 21/10 × 21 = 147/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
14/21 = 14 × 10/21 × 10 = 140/210 - Add the two like fractions:
147/210 + 140/210 = 147 + 140/210 = 287/210 - 287/210 simplified gives 41/30
- So, 7/10 + 14/21 = 41/30
In mixed form: 111/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/10+14/21 7/10+28/21 7/20+14/21 7/10+14/42 21/10+14/21 7/10+42/21 7/30+14/21 7/10+14/63 35/10+14/21 7/10+70/21 7/50+14/21 49/10+14/21 7/10+98/21 7/70+14/21