Multiplying and Dividing Fractions Calculator

Fractions Operations:

\[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c} \]

First Fraction:

Operation:

Second Fraction:

Result:

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1. What is Multiplying and Dividing Fractions?

Multiplying and dividing fractions are fundamental arithmetic operations. Multiplication involves multiplying numerators together and denominators together. Division is performed by multiplying by the reciprocal of the second fraction.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{a \times d}{b \times c} \]

Where:

\( \frac{a}{b} \) — First fraction
\( \frac{c}{d} \) — Second fraction
× — Multiplication operation
÷ — Division operation

Explanation: The calculator performs the operation and simplifies the result by finding the greatest common divisor (GCD).

3. Importance of Fractions Operations

Details: Understanding fraction operations is essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and science.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions, select the operation (multiply or divide). The calculator will show the result in simplified form.

5. Frequently Asked Questions (FAQ)

Q1: Can I use whole numbers with this calculator?
A: Yes, enter whole numbers as fractions with denominator 1 (e.g., 3 as 3/1).

Q2: What if I get a negative denominator?
A: The calculator will show the negative sign in the numerator to follow standard form (e.g., 1/-2 becomes -1/2).

Q3: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.

Q4: What if I enter zero as denominator?
A: Division by zero is undefined. The calculator requires non-zero denominators.

Q5: Can I use mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1 1/2 becomes 3/2).