One half divided by one fourth.
Understand the Problem
The question is asking how to perform the division of one half (1/2) by one fourth (1/4). This involves dividing the fractions, which can be solved using the rule of multiplying by the reciprocal.
Answer
2
Answer for screen readers
The result of dividing $ \frac{1}{2} $ by $ \frac{1}{4} $ is $ 2 $.
Steps to Solve
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Identify the fractions We have the fractions $ \frac{1}{2} $ and $ \frac{1}{4} $. We want to divide $ \frac{1}{2} $ by $ \frac{1}{4} $.
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Multiply by the reciprocal To divide by a fraction, we multiply by its reciprocal. The reciprocal of $ \frac{1}{4} $ is $ \frac{4}{1} $.
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Perform the multiplication Now, we perform the multiplication: $$ \frac{1}{2} \times \frac{4}{1} $$
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Multiply the numerators and denominators Multiply the numerators together and the denominators together: $$ \frac{1 \times 4}{2 \times 1} = \frac{4}{2} $$
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Simplify the result Finally, simplify $ \frac{4}{2} $ to get: $$ 2 $$
The result of dividing $ \frac{1}{2} $ by $ \frac{1}{4} $ is $ 2 $.
More Information
Dividing fractions may seem tricky at first, but by using the reciprocal multiplication rule, it simplifies the process. It's essential to remember this rule when dealing with division involving fractions.
Tips
- Forgetting to take the reciprocal of the second fraction before multiplying.
- Not simplifying the final answer, which is important to present the answer in its simplest form.
