Add 18/9 and 45/21
1st number: 2 0/9, 2nd number: 2 3/21
18/9 + 45/21 is 29/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
18/9 = 18 × 7/9 × 7 = 126/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
45/21 = 45 × 3/21 × 3 = 135/63 - Add the two like fractions:
126/63 + 135/63 = 126 + 135/63 = 261/63 - 261/63 simplified gives 29/7
- So, 18/9 + 45/21 = 29/7
In mixed form: 41/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/9+45/21 18/9+90/21 18/9+45/42 54/9+45/21 18/27+45/21 18/9+45/63 90/9+45/21 18/45+45/21 18/63+45/21