| Mode | Input | Decimal equivalent | Notes |
|---|---|---|---|
| Fraction | 7/16 | 0.4375 | Terminating decimal |
| Mixed | 3 1/4 | 3.25 | Whole plus fraction |
| Percent | 12.5% | 0.125 | Divide by 100 |
| Scientific | 6.02 × 10^23 | 602000000000000000000000 | Large-magnitude conversion |
| Base-N | 1011.01 (base 2) | 11.25 | Binary with fractional part |
- Fraction: decimal = a ÷ b
- Mixed number: decimal = w + (a ÷ b)
- Percent: decimal = p ÷ 100
- Scientific: decimal = c × 10^e
- Base-N: decimal = Σ(dᵢ × baseⁱ) + Σ(d₋ₖ ÷ baseᵏ)
- Choose an input mode that matches your notation.
- Enter the required values for that mode.
- Set decimal places and rounding for your report needs.
- Enable extras to view steps or alternate formats.
- Press Calculate to see the result above the form.
- Use the download buttons to export CSV or PDF.
Purpose
This calculator turns common notations into a single decimal equivalent, so values can be compared, plotted, or reported consistently. Fractions, mixed numbers, percents, scientific notation, and base‑N representations all map to one decimal form. That standardization reduces transcription errors in homework, lab sheets, and technical summaries. Because the output can be rounded to a chosen scale, the same raw value can be presented for estimation, measurement reporting, or tolerance checks.
Inputs
Select the input mode that matches your value, then provide only the required fields. Fraction and mixed modes accept signed integers and verify the denominator is nonzero. Percent mode interprets the number as per 100 and supports decimal percentages. Scientific mode uses a coefficient and exponent to represent very large or small magnitudes. Base mode accepts bases 2–36 and digits 0–9 and A–Z, including a fractional radix point.
Precision
Precision controls determine how the decimal is displayed and exported. Choose decimal places, then apply rounding rules such as half-up for standard reporting, floor for conservative lower bounds, or ceil for conservative upper bounds. When high-precision arithmetic support is available, the calculator preserves digits internally before rounding. For rational inputs, it can detect repeating cycles by tracking remainders, producing a compact repeating-decimal preview and a cycle-length note.
Outputs
Results are presented immediately above the form after submission, keeping your inputs visible for quick corrections. Alongside the decimal value, optional outputs can include an exact fraction approximation, a percent form, and a scientific representation for magnitude checks. If steps are enabled, the page explains the calculation pathway and highlights where rounding occurs. Export buttons generate a CSV row for spreadsheets and a PDF summary for sharing, printing, or record keeping.
Applications
Decimal equivalents support many workflows. In maths classes, they help compare fractions and visualize size on number lines. In engineering and lab work, they simplify unit conversions and tolerance stacking by keeping one consistent numeric form. In programming, base conversion outputs can be validated against decimal expectations before encoding values. In finance, percent and fractional rates become comparable for scenarios and sensitivity analysis. Consistent rounding settings improve auditability across teams globally.