Add 10/45 and 30/14
1st number: 10/45, 2nd number: 2 2/14
10/45 + 30/14 is 149/63.
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,
10/45 = 10 × 14/45 × 14 = 140/630 - Likewise, for the 2nd fraction, since 14 × 45 = 630,
30/14 = 30 × 45/14 × 45 = 1350/630 - Add the two like fractions:
140/630 + 1350/630 = 140 + 1350/630 = 1490/630 - 1490/630 simplified gives 149/63
- So, 10/45 + 30/14 = 149/63
In mixed form: 223/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+30/14 10/45+60/14 10/90+30/14 10/45+30/28 30/45+30/14 10/45+90/14 10/45+30/42 50/45+30/14 10/45+30/70 70/45+30/14 10/45+30/98