Add 21/30 and 49/14
1st number: 21/30, 2nd number: 3 7/14
21/30 + 49/14 is 21/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
49/14 = 49 × 15/14 × 15 = 735/210 - Add the two like fractions:
147/210 + 735/210 = 147 + 735/210 = 882/210 - 882/210 simplified gives 21/5
- So, 21/30 + 49/14 = 21/5
In mixed form: 41/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+49/14 21/30+98/14 21/60+49/14 21/30+49/28 63/30+49/14 21/90+49/14 21/30+49/42 21/30+49/70 21/30+49/98