Answers

Add 9/21 and 45/42

1^st number: 9/21, 2^nd number: 1 3/42

9/21 + 45/42 is 3/2.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 42 is 42
   
   Next, find the equivalent fraction of both fractional numbers with denominator 42
2. For the 1st fraction, since 21 × 2 = 42,
   9/21 = 9 × 2/21 × 2 = 18/42
3. Likewise, for the 2nd fraction, since 42 × 1 = 42,
   45/42 = 45 × 1/42 × 1 = 45/42
4. Add the two like fractions:
   18/42 + 45/42 = 18 + 45/42 = 63/42
5. 63/42 simplified gives 3/2
6. So, 9/21 + 45/42 = 3/2
   In mixed form: 11/2

MathStep (Works offline)

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

Related: ¹⁸/₂₁+⁴⁵/₄₂ ⁹/₂₁+⁹⁰/₄₂ ⁹/₄₂+⁴⁵/₄₂ ⁹/₂₁+⁴⁵/₈₄ ²⁷/₂₁+⁴⁵/₄₂ ⁹/₆₃+⁴⁵/₄₂ ⁴⁵/₂₁+⁴⁵/₄₂ ⁶³/₂₁+⁴⁵/₄₂

Add Fractions Calculator