Convert decimal or fraction inches to fraction, feet & inches
Built with for quick inch-to-fraction conversions
Founder & CEO, Toolraxy
Faiq Ur Rahman is a web designer, digital product developer, and founder of Toolraxy, a growing platform of web-based calculators and utility tools. He specializes in building structured, user-friendly tools focused on health, finance, productivity, and everyday problem-solving.
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Converting decimal inches or mixed numbers into clean, simplified fractions is a daily task for carpenters, machinists, tailors, and DIY enthusiasts. An inches to fraction calculator makes this process instant and error-free. This tool takes any inch value—whether a decimal like 5.75, a fraction like 3/4, or a mixed number like 2 1/2—and converts it into the closest simplified fraction, feet-and-inches format, and decimal inches. With selectable precision from 1/2 to 1/64, you can match the exact level of detail required by your project or measuring tool. The calculator runs entirely in your browser, keeping your measurements private while delivering accurate results in real time.
Enter Your Distance: Type any inch value into the “Distance” field. You can use decimals (e.g., 5.75), fractions (3/4), or mixed numbers (2 1/2).
Choose Precision: Select the smallest fraction unit you need from the dropdown (1/2, 1/4, 1/8, 1/16, 1/32, or 1/64).
View the Fraction Result: The converted fraction appears instantly in the large result box, simplified to the lowest terms.
Check Feet & Inches: The equivalent feet-and-inches format is shown below the fraction.
Use Copy or Share: Click the Copy or Share buttons to save the result or send it to someone.
This tool converts an inch value to a fraction using a two-step process: it first parses the input into a decimal inch value, then finds the closest fraction that matches the chosen precision.
Core Logic:
The calculator handles three input formats and applies a rounding algorithm to produce the fraction.
Input Parsing:
Decimal: 5.75 → 5.75 inches
Fraction: 3/4 → 0.75 inches
Mixed Number: 2 1/2 → 2.5 inches
Commas are ignored, so 1,223 is treated as 1223.
Fraction Conversion:
The decimal value is split into a whole number and a fractional part (e.g., 5.75 → whole=5, frac=0.75).
The fractional part is multiplied by the precision denominator (e.g., 8 for 1/8 precision). The nearest whole number numerator is selected.
The fraction is simplified using the Greatest Common Divisor (GCD). For example, with precision 8, 0.75 becomes 6/8, which simplifies to 3/4.
If the fractional part is zero, only the whole number is displayed.
Feet and Inches Formatting:
Feet = Floor(Total Inches ÷ 12)
Remaining Inches = Total Inches % 12
Inches are rounded to three decimal places for display.
Worked Example: Converting 5.75 Inches to a Fraction
Let’s walk through a real-world scenario for a woodworker.
Scenario: You have a measurement of 5.75 inches and need to express it as a fraction for a cutting guide.
Steps and Results:
Enter Distance: Type 5.75 into the input field.
Choose Precision: Keep the default 1/8 precision.
View Fraction Result:
Fraction inches: 5 3/4″
Decimal hint: = 5.7500 in
Check Feet & Inches: 5′ 0.75″ (or 5 ft 0.75 in depending on formatting)
Decimal Inches: 5.7500 in
Takeaway: The calculator recognized that 0.75 is exactly 3/4 of an inch. It simplified the fraction and displayed it as 5 3/4 inches. This is the format you would mark on a board or use in a cutting list.
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