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Fraction simplifier

Reduce a fraction to its simplest form and see its decimal value.

Algebraic Expression SimplifierCombines like terms, expands or factors, with implicit multiplication understood (2x is 2·x). When a cancellation removes a factor, the excluded value is stated — (x²−4)/(x−2) is x+2 only for x ≠ 2, and that restriction is part of the answer.Boolean Algebra SimplifierReduces a boolean expression to a minimal sum of products, accepting every common notation — AB, A·B, A&B for AND, A+B or A|B for OR, ~A, !A or A' for NOT, plus XOR, NAND and NOR. Shows the prime implicants, not just the final answer.Radical SimplifierSimplify square, cube and n-th roots, reduce quotients of radicals and rationalize denominators — e.g. sqrt(50) → 5√2 and 1/sqrt(2) → √2/2 — with the exact form and a decimal value.Continued fraction calculatorExpand a number into its continued fraction [a₀; a₁, a₂, …] and list the convergents — the best rational approximations at each step. Feed it a decimal, an exact fraction a/b, or a square root √k: rationals terminate, √k is periodic, and irrationals stream on to the term cap. Continued fractions give the closest fractions for a given size of denominator and reveal the hidden structure of numbers like the golden ratio and π.Decimal to fraction calculatorConvert a decimal number into a simplified fraction.Fraction CalculatorAdd, subtract, multiply or divide two fractions and get the reduced result plus its decimal value.Percent to Fraction CalculatorConvert a percentage into its reduced fraction and equivalent decimal (e.g. 12.5% → 1/8).Egyptian fraction calculatorEvery proper fraction can be written as a sum of distinct unit fractions (1/2 + 1/3 …), the way ancient Egyptian scribes did. This runs Fibonacci's greedy algorithm and shows the decomposition.

The Fraction simplifier turns Numerator, Denominator into Simplified fraction, Decimal value, instantly and for free. For instance, with Numerator = 8 and Denominator = 12 it returns Simplified fraction = 2/3 and Decimal value = 0.667.

How to use it

  1. Enter your values: Numerator, Denominator.
  2. Read the result instantly: Simplified fraction, Decimal value.

Frequently asked questions

What does the Fraction simplifier actually compute?

It takes Numerator and Denominator and derives Simplified fraction and Decimal value from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

2 values: Numerator and Denominator. Nothing else is required — no account, no file upload.

Can you show a worked example?

With Numerator = 8 and Denominator = 12, the calculator returns Simplified fraction = 2/3 and Decimal value = 0.667. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

When would I actually use this?

Getting through a problem set: solving for the unknown, factoring an expression, and — more usefully — seeing the steps that got there.

What is the most common mistake?

Losing a solution when both sides are squared or divided by an expression. Squaring can add roots that do not satisfy the original equation, and dividing can remove one — check every answer back in the original.

What is the difference between the Fraction simplifier and the Algebraic Expression Simplifier?

This one returns Simplified fraction and Decimal value; the Algebraic Expression Simplifier returns Result. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Boolean Algebra Simplifier is the closest one after this: Reduces a boolean expression to a minimal sum of products, accepting every common notation — AB, A·B, A&B for AND, A+B or A|B for OR, ~A, !A or A' for NOT, plus XOR, NAND and NOR. Shows the prime implicants, not just the final answer.

What else is worth having open alongside it?

Radical Simplifier and Continued fraction calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from, and how current are they?

The algebra is symbolic where the expression allows it and numeric otherwise, and the tool says which it used. Exact results are given as fractions or radicals rather than rounded decimals.

Further reading

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