Add 9/45 and 18/21
9/45 + 18/21 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
9/45 = 9 × 7/45 × 7 = 63/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
18/21 = 18 × 15/21 × 15 = 270/315 - Add the two like fractions:
63/315 + 270/315 = 63 + 270/315 = 333/315 - 333/315 simplified gives 37/35
- So, 9/45 + 18/21 = 37/35
In mixed form: 12/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/45+18/21 9/45+36/21 9/90+18/21 9/45+18/42 27/45+18/21 9/45+54/21 9/45+18/63 9/45+90/21 63/45+18/21