How is the fraction simplified?

The result's numerator and denominator are both divided by their greatest common divisor (GCD), so the final fraction is always in lowest terms.

What if a denominator is 0?

A fraction with a zero denominator is undefined, so the calculator blocks the calculation and asks for a non-zero denominator instead of showing an error result like Infinity.

How does fraction division actually work?

Dividing by a fraction is the same as multiplying by its reciprocal (flipping the numerator and denominator) — the calculator handles this automatically, so you don't need to remember to flip the second fraction yourself.

Can I enter a whole number instead of a fraction?

Yes — enter the whole number as the numerator with a denominator of 1 (for example, 5 becomes 5/1), and the calculation works the same way.

Why does the decimal equivalent matter?

It's useful for quickly comparing fraction results to other decimal values, or for contexts like measurements where a decimal is more practical than a fraction.

Math & Statistics Cluster

Fraction Calculator

Add, subtract, multiply or divide two fractions.

TL;DR: Fraction Calculator is a free, browser-based tool that lets you add, subtract, multiply or divide two fractions.

Numerator

Denominator

Operation

Numerator

Denominator

Understanding the Fraction Calculator

The Fraction Calculator solves mathematical equations, statistical distributions, and numerical relationships with step-by-step arithmetic breakdowns and high-precision calculations.

How It Works

Enter your known values, dataset numbers, or mathematical coefficients.
Select your preferred precision decimal places or calculation mode.
Click to compute and review the step-by-step derivation steps.
Copy the solved numerical answer or explore related mathematical proofs.

Mathematical Formula & Methodology

Here is the standard mathematical equation used to calculate this result accurately:

\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}

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

Step-by-Step Worked Example

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

How to Get the Best Results

Sample vs Population Data: In statistical variance and standard deviation, use sample formulas (Bessel's correction $n-1$) when analyzing subset samples.
Order of Operations: Computations strictly adhere to standard mathematical PEMDAS / BODMAS operational precedence.
High Precision Arithmetic: Internal calculations use 64-bit IEEE floating-point arithmetic for extreme numerical accuracy.

Related Guides & Tutorials

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100% Client-Side Privacy Guarantee

All processing runs locally inside your browser using JavaScript and HTML5 APIs. Your data, files, and inputs are never uploaded to any remote server. Complete privacy by design.

Frequently Asked Questions

: The result's numerator and denominator are both divided by their greatest common divisor (GCD), so the final fraction is always in lowest terms.
: A fraction with a zero denominator is undefined, so the calculator blocks the calculation and asks for a non-zero denominator instead of showing an error result like Infinity.
: Dividing by a fraction is the same as multiplying by its reciprocal (flipping the numerator and denominator) — the calculator handles this automatically, so you don't need to remember to flip the second fraction yourself.
: Yes — enter the whole number as the numerator with a denominator of 1 (for example, 5 becomes 5/1), and the calculation works the same way.
: It's useful for quickly comparing fraction results to other decimal values, or for contexts like measurements where a decimal is more practical than a fraction.

Cite This Tool

Referencing this tool in a paper, article, or bibliography? Copy a ready-made citation below.

NexLove.org. (2026). Fraction Calculator [Software]. https://nexlove.org/tools/fraction-calculator.html

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

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

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

Embed This Tool

Add the live Fraction Calculator tool to your own website with this snippet — it loads the real, working tool in an iframe, not a static screenshot.

<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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