๐Ÿ“ Step-by-Step Math Solver LCD & GCF Simplified

Dividing Fractions Calculator with Steps

Divide fractions online using the reciprocal rule (Keep, Change, Flip). Step-by-step solutions for dividing fractions by fractions, whole numbers, and mixed fractions.

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๐Ÿ“ Step-by-Step Solution

How to Use the Fraction Calculator

  1. Pick a mode tab above the calculator: Arithmetic (+, −, ×, ÷), Simplify / Reduce, Fraction ↔ Decimal, Equivalent Fractions, or Compare.
  2. Enter your fractions in the stacked numerator and denominator boxes, and tick "Include Whole Numbers" if you want to type mixed numbers like 1 ¾.
  3. Choose the operator (+, −, ×, ÷) between the fractions, and switch to "3 Fractions" if your expression has a third term.
  4. Press "Calculate Steps" to see the instant answer badge, then read the step-by-step working below, which shows the LCD setup, GCF reduction, mixed number, decimal, and percentage forms.
  5. Use the operation pills under the title (or the links below the guide) to open a dedicated page for a single skill, such as adding fractions, simplifying fractions, or comparing fractions.

How the Dividing Fractions Calculator with Steps Method Works

To divide fractions, multiply the first fraction by the reciprocal (flipped version) of the second fraction: Keep the first fraction, Change division to multiplication, Flip the second fraction.

Core Formula:
\(\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \cdot d}{b \cdot c}\)

Key Rules & Steps:

  1. Keep the first fraction exactly as it is.
  2. Change the division sign (÷) to a multiplication sign (×).
  3. Flip the second fraction to its reciprocal (invert numerator and denominator: c/d becomes d/c).
  4. Multiply the numerators and denominators across.
  5. Simplify to lowest terms or a mixed number.

Worked Practice Examples:

Problem: 2/3 ÷ 5/6
Result: 4/5
Keep 2/3, Change to ×, Flip 5/6 to 6/5. 2/3 × 6/5 = 12/15 = 4/5.

Frequently Asked Questions (FAQs)

What is the Keep, Change, Flip rule for dividing fractions?

Keep the first fraction, Change division (÷) to multiplication (×), and Flip the second fraction upside down (reciprocal). Then multiply straight across.

How do you divide a fraction by a whole number?

Write the whole number as a fraction over 1 (e.g., 4 = 4/1), take its reciprocal (1/4), and multiply.

Reviewed & updated: October 2026 Maintained by the OnlineResult Study Tools Team Report an issue
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