Add 14/21 and 36/45
14/21 + 36/45 is 22/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
14/21 = 14 × 15/21 × 15 = 210/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
36/45 = 36 × 7/45 × 7 = 252/315 - Add the two like fractions:
210/315 + 252/315 = 210 + 252/315 = 462/315 - 462/315 simplified gives 22/15
- So, 14/21 + 36/45 = 22/15
In mixed form: 17/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+36/45 14/21+72/45 14/42+36/45 14/21+36/90 42/21+36/45 14/63+36/45 70/21+36/45 98/21+36/45