Mathematics

Comparing Fractions Calculator

Compare two or more fractions with step-by-step work. Free online Comparing Fractions Calculator for math — instant, accurate results, no signup needed.

Comparison
3/4 > 5/7

Derivation

  1. ├── 01Givena = 3, b = 4, c = 5, d = 7
  2. ├── 02Formulao>l?"".concat(t," / ").concat(a," > ").concat(n," / ").concat(r):o<l?"".concat(t," / ").concat(a," < ").concat(n," / ").concat(r):"".concat(t," / ").concat(a," = ").concat(n," / ").concat(r)
  3. ├── 03Substituteo>l?"".concat(t," / ").concat(3," > ").concat(n," / ").concat(r):o<l?"".concat(t," / ").concat(3," < ").concat(n," / ").concat(r):"".concat(t," / ").concat(3," = ").concat(n," / ").concat(r)
  4. └── 04Compute Comparison
Did you know?

Fractions in "numerator/denominator" notation date to India (Brahmagupta, c. 628 CE); Arabs introduced the horizontal bar around 1200.

§01What is

Understanding the Comparing Fractions Calculator

The Comparing Fractions Calculator computes Comparison from 4 inputs: num 1, den 1, num 2, den 2. Compare two or more fractions with step-by-step work.

Mathematics shows up in every corner of daily life — budgeting, cooking, construction, engineering, even reading a bus schedule. A calculator like this lets you skip the scratch-paper step and move straight to the answer, without the arithmetic mistakes that creep in when the numbers get messy. The Comparing Fractions Calculator sits in that toolkit — it compare two or more fractions with step-by-step work. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

o>l?"".concat(t," / ").concat(a," > ").concat(n," / ").concat(r):o<l?"".concat(t," / ").concat(a," < ").concat(n," / ").concat(r):"".concat(t," / ").concat(a," = ").concat(n," / ").concat(r)

Where

a
Num 1
b
Den 1
c
Num 2
d
Den 2
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Num 1 = 3, Den 1 = 4, Num 2 = 5, Den 2 = 7.

  1. 01Start by noting the input — Num 1: 3.
  2. 02Start by noting the input — Den 1: 4.
  3. 03Start by noting the input — Num 2: 5.
  4. 04Start by noting the input — Den 2: 7.
  5. 05Substitute these values into the formula: o>l?"".concat(t," / ").concat(a," > ").concat(n," / ").concat(r):o<l?"".concat(t," / ").concat(a," < ").concat(n," / ").concat(r):"".concat(…
  6. 06Compute Comparison: the calculator returns 3/4 > 5/7.
  7. 07Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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