Add 35/14 and 20/45
1st number: 2 7/14, 2nd number: 20/45
35/14 + 20/45 is 53/18.
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,
35/14 = 35 × 45/14 × 45 = 1575/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Add the two like fractions:
1575/630 + 280/630 = 1575 + 280/630 = 1855/630 - 1855/630 simplified gives 53/18
- So, 35/14 + 20/45 = 53/18
In mixed form: 217/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+20/45 35/14+40/45 35/28+20/45 35/14+20/90 35/14+60/45 35/42+20/45 35/70+20/45 35/98+20/45