Answers

Add 21/42 and 30/63

21/42 + 30/63 is 41/42.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 63 is 126
   
   Next, find the equivalent fraction of both fractional numbers with denominator 126
2. For the 1st fraction, since 42 × 3 = 126,
   21/42 = 21 × 3/42 × 3 = 63/126
3. Likewise, for the 2nd fraction, since 63 × 2 = 126,
   30/63 = 30 × 2/63 × 2 = 60/126
4. Add the two like fractions:
   63/126 + 60/126 = 63 + 60/126 = 123/126
5. 123/126 simplified gives 41/42
6. So, 21/42 + 30/63 = 41/42

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related: ²¹/₄₂+⁶⁰/₆₃ ²¹/₈₄+³⁰/₆₃ ⁶³/₄₂+³⁰/₆₃ ²¹/₄₂+⁹⁰/₆₃

Add Fractions Calculator