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

Mixed Numbers Calculator

Calculate with mixed numbers and mixed fractions. Add, subtract, multiply, and divide mixed fractions, convert improper fractions to mixed numbers, and view step-by-step solutions.

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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 Mixed Numbers Calculator Method Works

Convert mixed numbers into improper fractions before calculating, perform the arithmetic operation, then convert the improper fraction back to a mixed number.

Core Formula:
\(W \frac{N}{D} = \frac{W \cdot D + N}{D}\)

Key Rules & Steps:

  1. Convert each mixed number W N/D to an improper fraction: (W × D + N) / D.
  2. Perform the chosen operation (addition, subtraction, multiplication, or division).
  3. Simplify the resulting improper fraction.
  4. Divide numerator by denominator to express the answer as Whole Number and Remainder/Denominator.

Worked Practice Examples:

Problem: 2 1/3 + 1 3/4
Result: 4 1/12
2 1/3 = 7/3, 1 3/4 = 7/4. LCD = 12. 28/12 + 21/12 = 49/12 = 4 1/12.

Frequently Asked Questions (FAQs)

How do you convert a mixed number to an improper fraction?

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator: (Whole × Den + Num) / Den.

How do you convert an improper fraction back to a mixed number?

Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator remains the same.

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