Solve 1/2 ÷ 1/2: Step-by-Step Fraction Division

Question

Complete the following exercise:

12:12=? \frac{1}{2}:\frac{1}{2}=\text{?}

Video Solution

Step-by-Step Solution

To solve the division of two fractions 12÷12 \frac{1}{2} \div \frac{1}{2} , we follow these steps:

  • Step 1: Recognize that dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, we replace division with multiplication by flipping the second fraction.
  • Step 2: Thus, 12÷12 \frac{1}{2} \div \frac{1}{2} becomes 12×21 \frac{1}{2} \times \frac{2}{1} .
  • Step 3: Perform the multiplication: Multiply the numerators and the denominators.
    Numerator: 1×2=2 1 \times 2 = 2
    Denominator: 2×1=2 2 \times 1 = 2
  • Step 4: Simplify the result: The fraction 22\frac{2}{2} simplifies to 1.

Thus, the result of the division 12÷12 \frac{1}{2} \div \frac{1}{2} is 1 1 .

Answer

1 1