Answers

Add 49/21 and 20/45

1^st number: 2 7/21, 2^nd number: 20/45

49/21 + 20/45 is 25/9.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 45 is 315
   
   Next, find the equivalent fraction of both fractional numbers with denominator 315
2. For the 1st fraction, since 21 × 15 = 315,
   49/21 = 49 × 15/21 × 15 = 735/315
3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
   20/45 = 20 × 7/45 × 7 = 140/315
4. Add the two like fractions:
   735/315 + 140/315 = 735 + 140/315 = 875/315
5. 875/315 simplified gives 25/9
6. So, 49/21 + 20/45 = 25/9
   In mixed form: 27/9

MathStep (Works offline)

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

Related: ⁹⁸/₂₁+²⁰/₄₅ ⁴⁹/₂₁+⁴⁰/₄₅ ⁴⁹/₄₂+²⁰/₄₅ ⁴⁹/₂₁+²⁰/₉₀ ⁴⁹/₂₁+⁶⁰/₄₅ ⁴⁹/₆₃+²⁰/₄₅

Add Fractions Calculator