Add 20/45 and 36/42
20/45 + 36/42 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 42 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 45 × 14 = 630,
20/45 = 20 × 14/45 × 14 = 280/630 - Likewise, for the 2nd fraction, since 42 × 15 = 630,
36/42 = 36 × 15/42 × 15 = 540/630 - Add the two like fractions:
280/630 + 540/630 = 280 + 540/630 = 820/630 - 820/630 simplified gives 82/63
- So, 20/45 + 36/42 = 82/63
In mixed form: 119/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/45+36/42 20/45+72/42 20/90+36/42 20/45+36/84 60/45+36/42