5/6 divided by 2 as a fraction
Understand the Problem
The question is asking how to divide the fraction 5/6 by the whole number 2, and express the result as a fraction.
Answer
The result is \( \frac{5}{12} \).
Answer for screen readers
The result of dividing ( \frac{5}{6} ) by 2 is ( \frac{5}{12} ).
Steps to Solve
- Convert the whole number to a fraction
To divide a fraction by a whole number, convert the whole number into a fraction. Here, we convert 2 into a fraction by writing it as $\frac{2}{1}$.
- Set up the division of fractions
Now, we'll use the rule of dividing fractions: To divide by a fraction, multiply by its reciprocal. The reciprocal of $\frac{2}{1}$ is $\frac{1}{2}$. So we set up the expression as follows:
$$ \frac{5}{6} \div 2 = \frac{5}{6} \times \frac{1}{2} $$
- Multiply the fractions
Next, we multiply the fractions:
$$ \frac{5 \times 1}{6 \times 2} = \frac{5}{12} $$
This is done by multiplying the numerators together and the denominators together.
The result of dividing ( \frac{5}{6} ) by 2 is ( \frac{5}{12} ).
More Information
Dividing fractions can be simplified by using the reciprocal. This approach is useful in various mathematical contexts, especially in algebra and number theory.
Tips
- Forgetting to convert the whole number into a fraction before performing the division.
- Not using the reciprocal correctly when dividing by a fraction.
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