Answers

Add 72/81 and 27/42

72/81 + 27/42 is 193/126.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 81 and 42 is 1134
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1134
2. For the 1st fraction, since 81 × 14 = 1134,
   72/81 = 72 × 14/81 × 14 = 1008/1134
3. Likewise, for the 2nd fraction, since 42 × 27 = 1134,
   27/42 = 27 × 27/42 × 27 = 729/1134
4. Add the two like fractions:
   1008/1134 + 729/1134 = 1008 + 729/1134 = 1737/1134
5. 1737/1134 simplified gives 193/126
6. So, 72/81 + 27/42 = 193/126
   In mixed form: 167/126

MathStep (Works offline)

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

Related: ⁷²/₈₁+⁵⁴/₄₂ ⁷²/₈₁+²⁷/₈₄ ⁷²/₈₁+⁸¹/₄₂

Add Fractions Calculator