Decimal to Fraction Calculator
What This Decimal to Fraction Tool Does
Decimals hide fractions underneath, and this calculator digs them out. Feed it 0.6 and 3/5 comes back; hand it 0.375 and 3/8 appears. Bakers doubling a recipe, machinists reading calipers, and students tidying quiz answers use it whenever a decimal must become a fraction.
Place Values, Reduction, and Repeats
Count the decimal places, then write the digits over a matching power of ten. Since 0.6 holds one place it becomes 6/10, and dividing by the GCD 2 reduces it to 3/5; likewise 0.375 with three places is 375/1000, reduced to 3/8.
Repeating decimals use a cleverer route with 9s in the denominator. A single repeating digit like 0.333 maps to 9 and reduces to 1/3, while 0.666 gives 2/3.
How to Convert and Double Check
Type the value into the Decimal number field and press Calculate. The reduced fraction appears right away, already simplified to its smallest terms. Try 0.75 and it lands on 3/4, a favorite in kitchen measurements.
Tip: more decimal places mean larger starting denominators. A five place value begins over 100000 and still reduces to a small fraction once shared factors cancel.
For a tape measure style check, enter 0.625 in the Decimal number field and press Calculate. Six hundred twenty five thousandths starts as 625/1000, the GCD 125 cancels top and bottom, and 5/8 lands on screen, the marking you actually read on a rule. Woodworkers gain the most here because 0.625 inches is far easier to set with a tape than its decimal form. Mix it up by trying 0.8125 as well: four places give 8125/10000, which reduces to 13/16. Both answers arrive already reduced, so no extra simplifying work is needed on your end.
Frequently Asked Questions
How does 0.6 become 3/5?
Write the digit over a power of ten, making 6/10. Divide top and bottom by the GCD 2 and the fraction arrives at 3/5 unchanged in value.
What fraction equals 0.375?
It equals 3/8. Three decimal places put 375 over 1000, and the shared factor 125 cancels until the eighth remains, matching common drill bit sizes.
How do repeating decimals convert correctly?
The repeating 9s trick handles them. Because 0.333 repeats one digit, it becomes 1/3, and 0.666 likewise reduces to 2/3, since the 9 sits underneath.
Is 0.5 equal to 1/2?
Exactly equal. The single place puts 5 over 10, and dividing both by 5 leaves 1/2, the simplest possible form of that value. No calculator could reduce it further.
Does 0.125 have a tidy fraction?
It reduces to 1/8. Starting from 125/1000, the shared factor of 125 cancels out completely, leaving the eighth that machinists and woodworkers measure all day.