5/6 divided by 3
Understand the Problem
The question is asking us to divide the fraction 5/6 by the whole number 3. To solve this, we will follow the procedure for dividing fractions, which involves multiplying by the reciprocal of the divisor.
Answer
\( \frac{5}{18} \)
Answer for screen readers
The final answer is ( \frac{5}{18} )
Steps to Solve
- Convert the whole number to a fraction
Any whole number can be written as a fraction with the whole number as the numerator and 1 as the denominator. Here, 3 becomes $\frac{3}{1}$.
- Find the reciprocal of the divisor
The reciprocal of $\frac{3}{1}$ is $\frac{1}{3}$. To divide by a fraction, multiply by its reciprocal.
- Multiply the fractions
Multiply $\frac{5}{6}$ by $\frac{1}{3}$:
$$ \frac{5}{6} \times \frac{1}{3} = \frac{5 \times 1}{6 \times 3} = \frac{5}{18} $$
So, $\frac{5}{6} \div 3 = \frac{5}{18}$
The final answer is ( \frac{5}{18} )
More Information
Dividing fractions involves multiplying by the reciprocal. This approach can simplify many problems involving division of fractions and whole numbers.
Tips
A common mistake is to forget to find the reciprocal of the divisor. Always ensure you multiply by the reciprocal when dividing by a fraction or converting a whole number.
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