Add 21/45 and 30/14
1st number: 21/45, 2nd number: 2 2/14
21/45 + 30/14 is 274/105.
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,
21/45 = 21 × 14/45 × 14 = 294/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
30/14 = 30 × 45/14 × 45 = 1350/630 - Add the two like fractions:
294/630 + 1350/630 = 294 + 1350/630 = 1644/630 - 1644/630 simplified gives 274/105
- So, 21/45 + 30/14 = 274/105
In mixed form: 264/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/45+30/14 21/45+60/14 21/90+30/14 21/45+30/28 63/45+30/14 21/45+90/14 21/45+30/42 21/45+30/70 21/45+30/98