4/8 divided by 1/4
Understand the Problem
The question is asking to perform division between two fractions: 4/8 and 1/4. To solve it, we should first convert the division into multiplication by taking the reciprocal of the second fraction, and then we can simplify and calculate the result.
Answer
$2$
Answer for screen readers
The final answer is $2$.
Steps to Solve
- Convert Division to Multiplication
To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{1}{4}$ is $\frac{4}{1}$. So we can rewrite the problem as: $$ \frac{4}{8} \div \frac{1}{4} = \frac{4}{8} \times \frac{4}{1} $$
- Multiply the Fractions
Now, we can multiply the two fractions together. Multiply the numerators together and the denominators together: $$ \frac{4 \times 4}{8 \times 1} = \frac{16}{8} $$
- Simplify the Result
Next, we simplify $\frac{16}{8}$. To do this, we divide both the numerator and the denominator by their greatest common divisor, which is 8: $$ \frac{16 \div 8}{8 \div 8} = \frac{2}{1} $$
- Convert to a Whole Number
Since $\frac{2}{1}$ is the same as 2, we conclude that the final result is 2.
The final answer is $2$.
More Information
Dividing fractions by using the reciprocal is a fundamental concept in fraction arithmetic. This method helps simplify complex fraction problems and is often used in various math applications.
Tips
One common mistake is forgetting to take the reciprocal of the second fraction, which would lead to an incorrect result. To avoid this, always remember that dividing by a fraction is the same as multiplying by its reciprocal.
