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Answer
\[
\frac{3}{5} \div \frac{1}{2} = \frac{6}{5} \quad \text{or} \quad 1 \frac{1}{5}
\]
Solution
To solve the division of two fractions, follow these steps:
**Problem:**
\[
\frac{3}{5} \div \frac{1}{2}
\]
**Step 1: Understand Division of Fractions**
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is created by swapping its numerator and denominator.
**Step 2: Find the Reciprocal**
\[
\text{Reciprocal of } \frac{1}{2} \text{ is } \frac{2}{1}
\]
**Step 3: Multiply the Fractions**
\[
\frac{3}{5} \div \frac{1}{2} = \frac{3}{5} \times \frac{2}{1}
\]
**Step 4: Perform the Multiplication**
\[
\frac{3}{5} \times \frac{2}{1} = \frac{3 \times 2}{5 \times 1} = \frac{6}{5}
\]
**Step 5: Simplify if Necessary**
\[
\frac{6}{5} \text{ can also be written as } 1 \frac{1}{5}
\]
**Final Answer:**
\[
\frac{3}{5} \div \frac{1}{2} = \frac{6}{5} \quad \text{or} \quad 1 \frac{1}{5}
\]
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Simplify this solution Extra Insights
To solve \( \frac{3}{5} \div \frac{1}{2} \), you can multiply the first fraction by the reciprocal of the second. So, it becomes \( \frac{3}{5} \times \frac{2}{1} = \frac{6}{5} \). This results in \( \frac{6}{5} \), which can also be expressed as \( 1 \frac{1}{5} \) or 1.2 in decimal form. Fun fact: Dividing fractions might seem tricky, but think of it like sharing pizza! If you have \( \frac{3}{5} \) of a pizza and want to see how many half-pizzas (or \( \frac{1}{2} \)) you can get from it, multiplying by the reciprocal simplifies the sharing process beautifully.
