Add 10/42 and 20/45
10/42 + 20/45 is 43/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
10/42 = 10 × 15/42 × 15 = 150/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Add the two like fractions:
150/630 + 280/630 = 150 + 280/630 = 430/630 - 430/630 simplified gives 43/63
- So, 10/42 + 20/45 = 43/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/42+20/45 10/42+40/45 10/84+20/45 10/42+20/90 30/42+20/45 10/42+60/45 50/42+20/45 70/42+20/45