5/6 divided by 5/12
Understand the Problem
The question is asking for the result of dividing the fraction 5/6 by the fraction 5/12. To solve it, we can multiply 5/6 by the reciprocal of 5/12, which is 12/5.
Answer
The result of dividing $\frac{5}{6}$ by $\frac{5}{12}$ is $2$.
Answer for screen readers
The final answer is $2$.
Steps to Solve
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Identify the fractions
The fractions given are $\frac{5}{6}$ and $\frac{5}{12}$. -
Find the reciprocal
The reciprocal of $\frac{5}{12}$ is obtained by flipping the numerator and the denominator. Therefore, the reciprocal is $\frac{12}{5}$. -
Multiply by the reciprocal
To divide the fractions, we multiply $\frac{5}{6}$ by the reciprocal $\frac{12}{5}$. This can be expressed as:
$$ \frac{5}{6} \times \frac{12}{5} $$
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Multiply the numerators and denominators
Now, we multiply the numerators and the denominators:
$$ \text{Numerator: } 5 \times 12 = 60 $$ $$ \text{Denominator: } 6 \times 5 = 30 $$
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Form the new fraction
Putting the multiplied values together, we have:
$$ \frac{60}{30} $$
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Simplify the fraction
Finally, we simplify the fraction $\frac{60}{30}$:
$$ \frac{60 \div 30}{30 \div 30} = \frac{2}{1} = 2 $$
The final answer is $2$.
More Information
Dividing fractions can be simplified by multiplying by the reciprocal. This method applies to all fractions and can help simplify calculations.
Tips
- Forgetting to flip the second fraction when finding the reciprocal.
- Incorrectly multiplying the fractions together, leading to a wrong final answer.
