Add 30/45 and 20/14
1st number: 30/45, 2nd number: 1 6/14
30/45 + 20/14 is 44/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 14 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
30/45 = 30 × 14/45 × 14 = 420/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
20/14 = 20 × 45/14 × 45 = 900/630 - Add the two like fractions:
420/630 + 900/630 = 420 + 900/630 = 1320/630 - 1320/630 simplified gives 44/21
- So, 30/45 + 20/14 = 44/21
In mixed form: 22/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+20/14 30/45+40/14 30/90+20/14 30/45+20/28 90/45+20/14 30/45+60/14 30/45+20/42 30/45+20/70 30/45+20/98