5/2 divided by 5
Understand the Problem
The question is asking for the result of dividing the fraction 5/2 by the number 5. To solve this, we will divide the numerator by the denominator by multiplying by the reciprocal.
Answer
$\frac{1}{2}$
Answer for screen readers
The final answer is $\frac{1}{2}$.
Steps to Solve
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Identify the fraction and the number The given fraction is $\frac{5}{2}$ and we need to divide it by 5.
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Write the division as multiplication by the reciprocal Instead of dividing by 5, we can multiply by its reciprocal. The reciprocal of 5 is $\frac{1}{5}$. We can now rewrite the problem: $$ \frac{5}{2} \div 5 = \frac{5}{2} \times \frac{1}{5} $$
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Multiply the fractions To multiply the fractions, we multiply the numerators and the denominators: $$ \frac{5 \times 1}{2 \times 5} = \frac{5}{10} $$
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Simplify the fraction Now we simplify $\frac{5}{10}$: $$ \frac{5}{10} = \frac{1}{2} $$
The final answer is $\frac{1}{2}$.
More Information
Dividing fractions and then simplifying can help in many real-life situations, such as measuring ingredients in cooking or understanding ratios.
Tips
One common mistake is forgetting to multiply by the reciprocal. It’s important to remember that dividing by a number is the same as multiplying by its reciprocal.
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