How to Effectively Solve Fraction Division: A Step-by-Step Guide
Learn to solve fraction division easily with our clear, step-by-step instructions and examples.
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To solve fraction division, follow these steps: 1. Flip the divisor: Convert the second fraction into its reciprocal (swap numerator and denominator). 2. Multiply the fractions: Multiply the first fraction by this reciprocal. 3. Simplify: Reduce the resulting fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. Example: For 1/2 ÷ 3/4, flip 3/4 to 4/3, then multiply: 1/2 × 4/3 = 4/6, which simplifies to 2/3.
FAQs & Answers
- What is the first step in dividing fractions? The first step in dividing fractions is to flip the divisor, which means converting the second fraction into its reciprocal by swapping its numerator and denominator.
- How do you multiply fractions after flipping the divisor? After flipping the divisor, you multiply the first fraction by the reciprocal of the second fraction. For example, if the problem is 1/2 ÷ 3/4, you would multiply 1/2 by 4/3.
- What does it mean to simplify a fraction? Simplifying a fraction means reducing it to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD).
- Can you give an example of fraction division? Sure! To divide 1/2 by 3/4: First, flip 3/4 to get 4/3. Then, multiply: 1/2 × 4/3 = 4/6, which simplifies to 2/3.