Instantly convert between fractions, decimals, and percentages, showing simplification steps, reciprocal, and interactive pie charts.
For repeating decimals, type 0.(3), 0.1(6) or 0.333... (digits in parentheses repeat)
Instantly convert between fractions, decimals, and percentages, showing simplification steps, reciprocal, and interactive pie charts. Use it for everyday work, development, learning, or quick verification.
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This tool converts between fractions, decimals and percentages in all three directions as you type. Enter a numerator and denominator in the Fraction Input, or type a decimal or a percentage, and the other two fields update instantly. Below you get the Simplified Fraction, the Mixed Number and the Reciprocal, and a pie chart and a 10x10 grid visualize the proportion. Enter 18 / 24, for example, and you get 3 / 4, 0.75 and 75%; enter 7 / 4 and the mixed number reads 1 and 3/4, with a reciprocal of 4 / 7.
To simplify, the tool finds the greatest common divisor (GCD) of the numerator and denominator with the Euclidean algorithm and divides both by it. The Fraction Simplification Steps panel shows the two steps, for instance that the GCD of 18 and 24 is 6, so 18 ÷ 6 = 3 and 24 ÷ 6 = 4, which makes it handy for checking homework. If you type a decimal into the numerator or denominator, such as 1.5 / 2, it is first turned into an equivalent whole-number fraction and then reduced to 3 / 4. Negative fractions work too, with the sign moved to the numerator.
When you start from a decimal or percentage, the tool writes it over 10, 100, 1000 and so on according to the digits you typed, then reduces it: 0.375 becomes 375/1000 and simplifies to 3/8, and 37.5% gives the same result. The decimal field also accepts repeating decimals: put the repetend in parentheses, so 0.(3) gives 1/3 and 0.1(6) gives 1/6, or end the number with "...", as in 0.333... or 0.142857142857..., and the tool finds a block that repeats at least twice and converts it exactly. Without parentheses or "...", 0.3333 is still a terminating decimal equal to 3333/10000. The decimal and percentage fields currently accept only values of zero or more.
When you start from a fraction, the decimal field shows the exact result whenever it can, with the repeating part in parentheses: 1/3 appears as 0.(3) and 1/7 as 0.(142857). Only results longer than 24 characters are rounded to four places, and the Repeating Decimal card below always shows the full long-division notation. Percentages are shown to two places, while the pie chart and grid round to a whole percent and stay full above 100%, so 7/4 shows a complete circle. The charts are meant for an intuitive feel, such as how big three quarters looks; rely on the number fields for exact values. Everything is calculated in your browser, with nothing to install and no sign-in.
Find the greatest common divisor of the numerator and denominator, then divide both by it. The GCD of 18 and 24 is 6, so 18/24 simplifies to 3/4. Enter the numerator and denominator in the tool and it shows the simplified fraction along with both calculation steps.
Count the digits after the decimal point and use that power of 10 as the denominator, then simplify. 0.375 has three decimal places, so it is 375/1000; the GCD is 125, giving 3/8. Type 0.375 into the decimal field and the tool returns 3/8 and 37.5% directly.
0.3333 is a terminating decimal that equals exactly 3333/10000; it is only close to one third. The tool converts precisely what you type and does not guess. To get one third, type the repeating form 0.(3) or 0.333..., or enter 1 and 3 in the fraction fields.
When the numerator is at least as large as the denominator, the fraction can be written as a whole number plus a proper fraction, so 7/4 = 1 and 3/4. The reciprocal swaps numerator and denominator, so the reciprocal of 7/4 is 4/7. Zero has no reciprocal, and the tool shows ∞.
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