Dividing Fractions Calculator Show Work

Fraction Division Formula:

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

Calculation Steps:

Final Result:

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1. What is Fraction Division?

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. The general rule is: a/b ÷ c/d = (a×d)/(b×c).

2. How Does the Calculator Work?

The calculator uses the fraction division formula:

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

Where:

a — Numerator of first fraction
b — Denominator of first fraction
c — Numerator of second fraction
d — Denominator of second fraction

3. Step-by-Step Explanation

Step 1: Find the reciprocal of the second fraction (swap numerator and denominator)
Step 2: Multiply the numerators of both fractions
Step 3: Multiply the denominators of both fractions
Step 4: Simplify the resulting fraction if possible

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). The calculator will show the step-by-step process and final result.

5. Frequently Asked Questions (FAQ)

Q1: Can I divide by zero?
A: No, denominators cannot be zero in either fraction.

Q2: What if my result is an improper fraction?
A: The calculator shows the exact fractional result. You may convert it to a mixed number if desired.

Q3: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) to simplify the fraction.

Q4: Can I use negative numbers?
A: Yes, the calculator handles negative fractions correctly.

Q5: What about whole numbers?
A: Whole numbers can be entered as fractions (e.g., 5 as 5/1).