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

Multiplying Fractions Calculator with Steps

Multiply fractions and mixed numbers step-by-step with cross-cancellation and simplest form reduction. Free online fraction multiplication solver.

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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 Multiplying Fractions Calculator with Steps Method Works

Multiplying fractions does not require a common denominator. Simply multiply the numerators together, multiply the denominators together, and reduce the result.

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

Key Rules & Steps:

  1. Convert any mixed numbers to improper fractions.
  2. Cross-cancel common factors between numerators and denominators if possible to simplify early.
  3. Multiply the top numbers (numerators) together.
  4. Multiply the bottom numbers (denominators) together.
  5. Reduce the final fraction to lowest terms.

Worked Practice Examples:

Problem: 3/8 × 4/9
Result: 1/6
Cross cancel: 3 and 9 divide by 3 (leaves 1 and 3). 4 and 8 divide by 4 (leaves 1 and 2). (1 × 1) / (2 × 3) = 1/6.

Frequently Asked Questions (FAQs)

Do you need a common denominator to multiply fractions?

No, unlike addition and subtraction, multiplication never requires finding a common denominator.

What is cross-cancelling in multiplying fractions?

Cross-cancelling is dividing a numerator of one fraction and a denominator of the other fraction by their greatest common factor before multiplying, making calculations smaller and easier.

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