Decimal Ratio to H-W Fraction Formatter

EXACTdecimalTEXT to rationalhoist/fly formattingusingBigInt,no continued-fractionapproximationor arbitrarybinary64fraction. Actual independently applicable flag/cloth/manufacturer/jurisdiction/protocol/sourceedition,units/calibration and observations external;not legal/display precedence,authenticity,visibility or structural safety approval.

Description

An exact decimal hoist-to-fly ratio can be written as an integer ratio without approximation.

An exact decimal hoist-to-fly ratio can be written as an integer ratio without approximation.1

Using decimal text preserves the intended fraction even when binary floating-point would introduce rounding.

When to use Decimal Ratio to H-W Fraction Formatter

Use this tool to apply the stated decimal ratio to h-w fraction formatter operation with an explicit input and unit basis.

How to use Decimal Ratio to H-W Fraction Formatter and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualCanonicalDecimalHoistFlyRatio and run the tool.
  3. Read result.reducedHoist, result.reducedFly, result.formattedRatio using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualCanonicalDecimalHoistFlyRatioCanonical decimal hoist fly ratio, on the basis specified in the algorithm.stringrequired; further conditions in the algorithm

Require canonical positive decimal text with at most 12 integer and 12 fractional digits. Form BigInt numerator over a power of ten, divide both by their greatest common divisor, and return strings.

H:F = reduced(decimal integer / 10^fractional-digits)

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.reducedHoistReduced numerator as decimal text, preserving exact BigInt precision.string
result.reducedFlyReduced denominator as decimal text.string
result.formattedRatioReduced hoist:fly string.string
json
{
  "input": {
    "actualCanonicalDecimalHoistFlyRatio": "0.75"
  },
  "output": {
    "result": {
      "reducedHoist": "3",
      "reducedFly": "4",
      "formattedRatio": "3:4"
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Pile Depth Proportion Calculator. A pile is a triangular flag design feature whose depth can be described relative to fly length.

For a related operation, use Flag Hoist from Fly and Ratio Calculator. Hoist is the flag dimension along the attachment edge; fly extends outward from it.

References

  1. Decimal Ratio to H-W Fraction Formatter — tool.io

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