Add 45/21 and 14/5
1st number: 2 3/21, 2nd number: 2 4/5
45/21 + 14/5 is 173/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
45/21 = 45 × 5/21 × 5 = 225/105 - Likewise, for the 2nd fraction, since 5 × 21 = 105,
14/5 = 14 × 21/5 × 21 = 294/105 - Add the two like fractions:
225/105 + 294/105 = 225 + 294/105 = 519/105 - 519/105 simplified gives 173/35
- So, 45/21 + 14/5 = 173/35
In mixed form: 433/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/21+14/5 45/21+28/5 45/42+14/5 45/21+14/10 45/21+42/5 45/63+14/5 45/21+14/15 45/21+70/5 45/21+14/25 45/21+98/5 45/21+14/35