Add 9/14 and 20/45
9/14 + 20/45 is 137/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 14 × 45 = 630,
9/14 = 9 × 45/14 × 45 = 405/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Add the two like fractions:
405/630 + 280/630 = 405 + 280/630 = 685/630 - 685/630 simplified gives 137/126
- So, 9/14 + 20/45 = 137/126
In mixed form: 111/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/14+20/45 9/14+40/45 9/28+20/45 9/14+20/90 27/14+20/45 9/14+60/45 9/42+20/45 45/14+20/45 9/70+20/45 63/14+20/45 9/98+20/45