Convert a decimal number to a simplified ratio and fraction, with percentage equivalent and step-by-step work.
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Ratio
Step-by-step
Start with the decimal: 0.75
Multiply numerator and denominator by 1000000000000000 → 750000000000000/1000000000000000
Find GCD of 750000000000000 and 1000000000000000 → 250000000000000
Simplify: 3/4
Express as ratio → 3:4
Also in Ratios & Averages
Arithmetic
A decimal to ratio calculator converts any decimal number into a simplified ratio and fraction. It shows the percentage equivalent and step-by-step work, making it useful for converting measurements, proportions, and probabilities into ratio form.
To convert a decimal to a ratio, first express it as a fraction by placing the decimal over 1, then multiply both the numerator and denominator by 10 for each decimal place to eliminate the decimal point. Finally, simplify using the GCD.
For example, 0.75 = 75/100 = 3/4, giving the ratio 3:4. An integer like 2 becomes 2/1 or the ratio 2:1.
Frequently asked questions
Repeating decimals can be converted to exact fractions (0.333... = 1/3), but the calculator works with the entered decimal value, which may give a close approximation depending on how many digits you enter.
Yes. Whole numbers convert to ratios like 5:1, and the decimal 1.0 converts to 1:1.
Related
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