Common decimals as fractions
{_tbl(["Decimal", "Fraction", "Decimal", "Fraction"], [ [".1", "1/10", ".125", "1/8"], [".2", "1/5", ".25", "1/4"], [".3", "3/10", ".375", "3/8"], [".4", "2/5", ".5", "1/2"], [".6", "3/5", ".625", "5/8"], [".7", "7/10", ".75", "3/4"], [".8", "4/5", ".875", "7/8"], [".9", "9/10", ".0625", "1/16"], [".05", "1/20", ".333…", "1/3"], [".15", "3/20", ".666…", "2/3"], [".35", "7/20", ".1666…", "1/6"], [".45", "9/20", ".142857…", "1/7"]])}How to convert any decimal
- Write the digits over 10, 100, 1,000 and so on: one zero for each decimal place. .35 = 35/100.
- Simplify by dividing top and bottom by their greatest common factor: 35 and 100 share 5, so 35/100 = 7/20.
For a repeating decimal, put the repeating block over the same number of 9s: .272727… = 27/99 = 3/11.
Is there a fraction for pi?
No. Pi is irrational, so no fraction equals it exactly. Two close approximations are 22/7, which is about 0.00126 too high, and 355/113, which is only about 0.00000027 too high.
Convert yours
The decimal to fraction converter handles any decimal, including repeating ones, with steps. The fraction calculator adds, subtracts, multiplies and divides fractions.
Every worked example on this page was checked with Calcist's own engine and an independent reference.