Add 49/84 and 14/30
49/84 + 14/30 is 21/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
49/84 = 49 × 5/84 × 5 = 245/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
14/30 = 14 × 14/30 × 14 = 196/420 - Add the two like fractions:
245/420 + 196/420 = 245 + 196/420 = 441/420 - 441/420 simplified gives 21/20
- So, 49/84 + 14/30 = 21/20
In mixed form: 11/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/84+14/30 49/84+28/30 49/84+14/60 49/84+42/30 49/84+14/90 49/84+70/30 49/84+98/30