Add 30/21 and 9/45
1st number: 1 9/21, 2nd number: 9/45
30/21 + 9/45 is 57/35.
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,
30/21 = 30 × 15/21 × 15 = 450/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
9/45 = 9 × 7/45 × 7 = 63/315 - Add the two like fractions:
450/315 + 63/315 = 450 + 63/315 = 513/315 - 513/315 simplified gives 57/35
- So, 30/21 + 9/45 = 57/35
In mixed form: 122/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/21+9/45 30/21+18/45 30/42+9/45 30/21+9/90 90/21+9/45 30/21+27/45 30/63+9/45 30/21+63/45