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Equivalent fractions calculator

Reduce a fraction to lowest terms and see a few equivalent forms built by multiplying up, plus its decimal and percentage — everything that names the same value a different way.

Related tools

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Comparing fractions calculatorWhich fraction is bigger? Enter two and it cross-multiplies to compare them exactly — no rounding — and shows both as decimals so you can see how close they are.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.Fraction CalculatorAdd, subtract, multiply or divide two fractions and get the reduced result plus its decimal value.Decimal to fraction calculatorConvert a decimal number into a simplified fraction.Long Division CalculatorDivide two whole numbers to get the quotient, remainder and exact decimal result.Rounding calculatorRound a number to a chosen number of decimal places.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.Amicable Number CheckerCheck whether two numbers are amicable — or give just one and get its candidate partner plus the verified loop, with perfect and sociable numbers identified.

Enter Numerator, Denominator and the Equivalent fractions calculator works out Simplest form, Equivalent fractions, Decimal, Percentage straight away. For instance, with Numerator = 6 and Denominator = 8 it returns Simplest form = 3/4, Equivalent fractions = 6/8, 9/12, 12/16, 15/20 and Decimal = 0.75.

How to use it

  1. Enter your values: Numerator, Denominator.
  2. Read the result instantly: Simplest form, Equivalent fractions, Decimal, Percentage.

Frequently asked questions

What does the Equivalent fractions calculator actually compute?

It takes Numerator and Denominator and derives Simplest form, Equivalent fractions, Decimal and Percentage 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 = 6 and Denominator = 8, the calculator returns Simplest form = 3/4, Equivalent fractions = 6/8, 9/12, 12/16, 15/20 and Decimal = 0.75. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

When would I actually use this?

Reading a number written another way: a Roman numeral on a monument, a hexadecimal colour, a binary byte, or a fraction that needs reducing.

What is the most common mistake?

Assuming a decimal fraction survives a change of base. A tenth is exact in decimal and infinitely repeating in binary, which is why 0.1 + 0.2 is not 0.3 in most programming languages.

What is the difference between the Equivalent fractions calculator and the Comparing fractions calculator?

This one returns Simplest form and Equivalent fractions; the Comparing fractions calculator returns Comparison and Fraction 1 (decimal). That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Continued fraction calculator is the closest one after this: Expand 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.

What else is worth having open alongside it?

Fraction Calculator and Decimal to 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?

Base conversion and number-theory results are exact. Roman numerals follow the standard subtractive form used since the Middle Ages, which is not the only one the Romans themselves used.

Further reading

All guides →
How-toHow to Add and Subtract Fractions: Common Denominator, Combine, SimplifyYou can only add or subtract fractions that share a denominator. Learn to find a common denominator, combine the numerators, and simplify the result, with a worked example.How-toHow to Round Numbers: Round Half Up, Round Half to Even, and MoreRound to any decimal place or number of significant figures, and learn when to use round half up versus round half to even to avoid bias.How-toHow to Find Prime Factors: Factor Trees and the Division MethodBreak any whole number into its prime building blocks with a factor tree or repeated division — and write the result as a clean prime factorization with exponents.How-toHow to Do Long Division: Divide, Multiply, Subtract, Bring DownLong division breaks a big division into a repeating four-step cycle. Learn the divide-multiply-subtract-bring-down loop and how to read the remainder, with a worked example.ExplainerOrder of Operations (PEMDAS / BODMAS): Why the Order MattersPEMDAS and BODMAS are two names for one rule that fixes the order you evaluate a math expression — so everyone gets the same answer. Learn the rule with a worked example.How-toHow to Convert a Percentage to a Fraction: Over 100, Then ReduceA percentage is just a fraction out of 100. Put the number over 100, reduce to lowest terms, and handle decimal percentages like 12.5% by clearing the decimal first. With examples.