Answers

Add 4/81 and 40/42

4/81 + 40/42 is 568/567.

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,
   4/81 = 4 × 14/81 × 14 = 56/1134
3. Likewise, for the 2nd fraction, since 42 × 27 = 1134,
   40/42 = 40 × 27/42 × 27 = 1080/1134
4. Add the two like fractions:
   56/1134 + 1080/1134 = 56 + 1080/1134 = 1136/1134
5. 1136/1134 simplified gives 568/567
6. So, 4/81 + 40/42 = 568/567
   In mixed form: 11/567

MathStep (Works offline)

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

Related: ⁸/₈₁+⁴⁰/₄₂ ⁴/₈₁+⁸⁰/₄₂ ⁴/₈₁+⁴⁰/₈₄ ¹²/₈₁+⁴⁰/₄₂ ²⁰/₈₁+⁴⁰/₄₂ ²⁸/₈₁+⁴⁰/₄₂

Add Fractions Calculator