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ARITHMETIC / SIMPLIFY AND SCALE

Ratio Calculator

Reduce an integer ratio to lowest terms and scale it to an entered target left term while preserving the same proportion.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Both original terms are divided by their greatest common divisor, and cross-multiplication provides the equivalent target term.

Calculation path

Simplified terms = each term / GCD; equivalent right term = target left term x original right / original left.

What you provide

What you provide

  • Left ratio term: Non-zero first integer in the ratio.
  • Right ratio term: Non-zero second integer in the ratio.
  • Target left term: New left-side value used to calculate an equivalent right term.

What you receive

What you receive

  • Simplified integer ratio
  • Equivalent right term
  • Quotient and common divisor

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

A ratio compares relative quantities; confirm both quantities use compatible units before interpreting it.

Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.