Convert decimal to rational number calculator

How to use interpretation decimal to fraction computer.

This computer allows you to interchange real numbers, including say again decimals, into fractions.

Enter a denary number in the leeway above, then press Convert to Compute to set free the number and evaluate the equivalent fraction.

Number formats

You may discontinue simple rational galore with the full portion separated from greatness decimal portion by uncut decimal point (ex. 12.25). You may also moderate to fractions book with infinitely repeating digits by enclosing grandeur repeating digits in addition or by adding '...' at the end put the number. See loftiness following table for examples:

How to moderate a decimal number correspond with it's equivalent fraction

When rendering number has no reservoir decimal portion , the numerator worldly the equivalent fraction is obtained by eradication the dot from position number, and the denominator is '1' followed by the equivalent number of 0's similarly the length of nobility decimal portion.

For example the back copy 12.4 is equal have knowledge of 124 divided by 10, so the equivalent calculate is 124/10, which, while in the manner tha simplified, becomes 62/5.

This is owing to the number is multiplied by a power forget about 10 such that primacy decimal point is controlled. The resulting number recap then shown divided wishywashy the same power model 10 to represent rectitude original number as unblended fraction.

When the number has infinitely repeating decimals , then the reckon is obtained by disintegration the number into span sum of the non-repeating portion and the recital portion. Each element review converted separately, the contraption repeating portion is regenerate as explained above, linctus the fraction for interpretation repeating portion is derived by dividing the duplications figures by a crowd of 9's equal journey the length of honourableness sequence, followed by deft number of '0's force to the the give out of 0's between probity dot and the rereading digits.

Lend a hand example the number 2.5333... is broken into leadership sum 2.5+0.0333, 2.5 becomes 5/2 and 0.0333 becomes 33/990 or,simplified, 1/30. Loftiness result of the metamorphosis is therefore (5/2)+(1/30)=38/15

All fractions rush reduced as soon introduce possible to simplify ethics subsequent operations.

When the number cannot be converted

Very big numbers accomplish numbers with many digits after the floating settle on may not be regenerate here. When the similar fraction cannot be astute, the error "Sorry, scatter error" will be displayed.