Add 18/45 and 16/21
18/45 + 16/21 is 122/105.
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,
18/45 = 18 × 7/45 × 7 = 126/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
16/21 = 16 × 15/21 × 15 = 240/315 - Add the two like fractions:
126/315 + 240/315 = 126 + 240/315 = 366/315 - 366/315 simplified gives 122/105
- So, 18/45 + 16/21 = 122/105
In mixed form: 117/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/45+16/21 18/45+32/21 18/90+16/21 18/45+16/42 54/45+16/21 18/45+48/21 18/45+16/63 90/45+16/21 18/45+80/21