Solve the Fraction Division: 3/4 ÷ 1/2 Step-by-Step

To solve this problem, we'll break it into these manageable steps:

• Step 1: Identify the fractions:
  $\frac{3}{4}$ and $\frac{1}{2}$.
• Step 2: Find the reciprocal of the second fraction:
• The reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$.
• Step 3: Change the division into multiplication:
• $\frac{3}{4} \div \frac{1}{2}$ becomes $\frac{3}{4} \times \frac{2}{1}$.
• Step 4: Multiply the numerators and the denominators:
• Numerator: $3 \times 2 = 6$
• Denominator: $4 \times 1 = 4$
• So, $\frac{3}{4} \times \frac{2}{1} = \frac{6}{4}$.
• Step 5: Simplify the fraction:
• $\frac{6}{4} = \frac{3}{2}$, since dividing numerator and denominator by 2 gives $\frac{3}{2}$.
• Step 6: Convert the fraction to a mixed number:
• $\frac{3}{2}$ can be written as the mixed number $1\frac{1}{2}$.

Therefore, the result of the division is $1\frac{1}{2}$.