How do I simplify a fraction to lowest terms?

Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both numbers by that GCD. For example, for 8/12, the GCD is 4, simplifying to 2/3.

How do I convert an improper fraction 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 stays the same (e.g., 7/4 = 1 with remainder 3 = 1 3/4).

Why must denominators be the same when adding fractions?

Denominators represent the size of the parts. You can only add or subtract parts of identical size, which requires finding a common denominator.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. For example, `3 / 4 = 0.75`.

Can a denominator ever be zero?

No. Division by zero is mathematically undefined. A denominator must always be a non-zero integer.

How do I add or subtract fractions with different denominators?

Find the Least Common Denominator (LCD), convert each fraction to equivalent fractions with matching denominators, add or subtract the numerators, and simplify.

Math & Statistics Cluster

Fraction Calculator (Add, Subtract, Multiply & Simplify)

Perform arithmetic on proper, improper, and mixed fractions with step-by-step simplification.

TL;DR: Fraction Calculator adds, subtracts, multiplies, and divides proper and improper fractions and mixed numbers, reducing results to simplest form with step-by-step solutions.

Numerator

Denominator

Operation

Numerator

Denominator

How Do You Add, Subtract, Multiply, and Divide Fractions?

To add/subtract fractions, find the Least Common Denominator (LCD), convert numerators, and combine: a/b ± c/d = (ad ± bc) / bd. To multiply, multiply numerators and denominators: (a/b) × (c/d) = ac / bd. To divide, multiply by the reciprocal: (a/b) ÷ (c/d) = ad / bc.

How to Use the Fraction Calculator

Our Fraction Calculator performs high-precision mathematical operations directly in your browser with zero latency and complete client-side privacy.

Select your operation: Addition (+), Subtraction (-), Multiplication (×), or Division (÷).
Enter the numerator and denominator for Fraction 1 (and whole number for mixed fractions).
Enter the numerator and denominator for Fraction 2.
Click 'Calculate Fraction' to generate the reduced result.
Review the step-by-step mathematical breakdown, mixed number format, and decimal equivalent.

Mathematical Formula & Equations

Adds, subtracts, multiplies, divides, and simplifies proper, improper, and mixed fractions with lowest common denominator (LCD) steps.

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd}, \quad \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}, \quad \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

Calculation Example

$$\frac{3}{4} + \frac{2}{3} = \frac{9 + 8}{12} = \frac{17}{12} = 1\frac{5}{12}$$

100% Client-Side Privacy & Data Security

All calculations, amortization schedules, variables, and sensitive numerical datasets execute 100% locally in your web browser memory. Your financial, medical, and personal values are never transmitted, logged, or uploaded to any external server.

Frequently Asked Questions

: Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both numbers by that GCD. For example, for 8/12, the GCD is 4, simplifying to 2/3.
: Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same (e.g., 7/4 = 1 with remainder 3 = 1 3/4).
: Denominators represent the size of the parts. You can only add or subtract parts of identical size, which requires finding a common denominator.
: Divide the numerator by the denominator. For example, `3 / 4 = 0.75`.
: No. Division by zero is mathematically undefined. A denominator must always be a non-zero integer.
: Find the Least Common Denominator (LCD), convert each fraction to equivalent fractions with matching denominators, add or subtract the numerators, and simplify.

Cite This Calculator

Need to reference this online calculator in a financial proposal, academic paper, blog post, or classroom curriculum? Copy a citation below.

NexLove.org. (2026). Fraction Calculator [Online Calculation Tool]. https://nexlove.org/tools/fraction-calculator

“Fraction Calculator.” NexLove.org, 2026, nexlove.org/tools/fraction-calculator.

NexLove.org (2026) Fraction Calculator. Available at: https://nexlove.org/tools/fraction-calculator (Accessed: 2026).

@misc{nexlove_fraction_calculator,
  title = {Fraction Calculator},
  author = {{NexLove.org}},
  year = {2026},
  url = {https://nexlove.org/tools/fraction-calculator}
}

Embed This Tool

Add the live Fraction Calculator to your own website with this snippet — it loads the real, working calculator in an iframe.

<iframe src="https://nexlove.org/embed/fraction-calculator.html" width="100%" height="600" style="border:1px solid #e2e8f0;border-radius:12px" title="Fraction Calculator — NexLove.org" loading="lazy"></iframe>

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