Add 42/21 and 20/9
1st number: 2 0/21, 2nd number: 2 2/9
42/21 + 20/9 is 38/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
42/21 = 42 × 3/21 × 3 = 126/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
20/9 = 20 × 7/9 × 7 = 140/63 - Add the two like fractions:
126/63 + 140/63 = 126 + 140/63 = 266/63 - 266/63 simplified gives 38/9
- So, 42/21 + 20/9 = 38/9
In mixed form: 42/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/21+20/9 42/21+40/9 42/21+20/18 42/21+60/9 42/63+20/9 42/21+20/27 42/21+20/45 42/21+20/63