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Comparing fractions calculator

Which 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.

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Enter Numerator 1, Denominator 1, Numerator 2, Denominator 2 and the Comparing fractions calculator works out Comparison, Fraction 1 (decimal), Fraction 2 (decimal) straight away. For instance, with Numerator 1 = 3, Denominator 1 = 4, Numerator 2 = 5 and Denominator 2 = 8 it returns Comparison = 3/4 > 5/8, Fraction 1 (decimal) = 0.75 and Fraction 2 (decimal) = 0.625.

How to use it

  1. Enter your values: Numerator 1, Denominator 1, Numerator 2, Denominator 2.
  2. Read the result instantly: Comparison, Fraction 1 (decimal), Fraction 2 (decimal).

Frequently asked questions

What does the Comparing fractions calculator actually compute?

It takes Numerator 1, Denominator 1, Numerator 2 and Denominator 2 and derives Comparison, Fraction 1 (decimal) and Fraction 2 (decimal) from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

4 values: Numerator 1, Denominator 1, Numerator 2 and Denominator 2. Nothing else is required — no account, no file upload.

Can you show a worked example?

With Numerator 1 = 3, Denominator 1 = 4, Numerator 2 = 5 and Denominator 2 = 8, the calculator returns Comparison = 3/4 > 5/8, Fraction 1 (decimal) = 0.75 and Fraction 2 (decimal) = 0.625. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What does it give for smaller values?

Scaled down to Numerator 1 = 2, Denominator 1 = 2, Numerator 2 = 3 and Denominator 2 = 4, Fraction 1 (decimal) comes out at 1. The relationship is worth checking at both ends before you rely on a single result.

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 Comparing fractions calculator and the Equivalent fractions calculator?

This one returns Comparison and Fraction 1 (decimal); the Equivalent fractions calculator returns Simplest form and Equivalent fractions. 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?

Decimal to fraction calculator and 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.