Question: can you show me how to do a fraction bar which represents $\frac{1}{2}$ divided by $\frac{1}{4}$ with the full on answer in grade 5 method
1. **State the problem:** We want to find the value of $\frac{1}{2} \div \frac{1}{4}$.
2. **Recall the rule for dividing fractions:** To divide by a fraction, multiply by its reciprocal. The reciprocal of $\frac{1}{4}$ is $\frac{4}{1}$.
3. **Write the division as multiplication:**
$$\frac{1}{2} \div \frac{1}{4} = \frac{1}{2} \times \frac{4}{1}$$
4. **Multiply the numerators and denominators:**
$$\frac{1 \times 4}{2 \times 1} = \frac{4}{2}$$
5. **Simplify the fraction:**
We can cancel the common factor 2 in numerator and denominator:
$$\frac{\cancel{4}^{2 \times 2}}{\cancel{2}^1} = \frac{2 \times 2}{1} = 2$$
6. **Final answer:**
$$\frac{1}{2} \div \frac{1}{4} = 2$$
This means $\frac{1}{2}$ divided by $\frac{1}{4}$ equals 2. In other words, $\frac{1}{2}$ contains two $\frac{1}{4}$ parts.