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Q: How do you convert fraction to decimal denominator by not power of 10?

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a power of 10

Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.

To a power of 10 (to 10, 100, 1000, etc.).

IF THE NUMBER IS A NON-REPEATING DECIMAL USE THIS PROCEDURE: (1) The whole number to the left of the decimal will be the whole number part of the fraction. (2)Next count the number of digits to the right of the decimal. (3) Then take 10 to the power of the number of digits, this will be the denominator part of the fraction. (4) The numerator part of the fraction will be the digits after the decimal. (5) Finally, if needed, reduce the fraction to lowest terms. For example: Convert 22.456624 to a fraction. (1) 22 will obviously be the whole number part of the fraction (2) there are 6 digits to the right of the decimal so the denominator portion of the fraciton is 10^6 or 1,000,000. (3) the numerator portion of the fraction will be 456624 (4) So the number 22.456624 can be written as 22 456624/1000000 which reduces to 22 28539/62500

To give a decimal as a fraction, it is easiest to multiply the decimal by a power of 10 until there are no more digits after the decimal point, then put this power of ten as the denominator. In this case we can multiply by 10,000 to get 236. Thus we can use 236/10,000 as a starting point. This is not the fraction in it's simplest form though, as both top and bottom of the fraction can divide by 4. Do this and we get 59/2500, which cannot be reduced further. Thus 0.0236 as a fraction is 59/2500.

Related questions

A proper fraction, that is, one with no whole number part, for which the denominator of the fraction is an integral power of ten, may be converted to a decimal of the form: decimal point followed by one fewer zeros than the power of ten in the denominator, followed by the numerator of the fraction.

a power of 10

A decimal fraction is called such because it can be represented by a fraction with a denominator with a power of 10.

A decimal fraction.

Complex fraction Complex fraction - A complex fraction is a fraction where the numerator and/or denominator are a fraction. Decimal - A decimal is a number based on the number 10. It can be thought of as a special type of fraction where the denominator is a power of 10. Decimal point - A period or dot that is part of a decimal number.

To start with, it is the power of ten in which the number of zeros is equal to the number of digits after the decimal point. If the fraction is then simplified, the denominator will change.

A proper fraction in which the denominator is a power of 10.

The expression, 0.261 is referred to as a decimal fraction. To convert it to an ordinary fraction multiply it by the relevant power of 10 to convert it to a number with NO portion AFTER the decimal point, put the relevant power of 10 as the denominator and see if the fraction can be simplified. 0.261 = 0.261 x 1000 / 1000 = 261/1000

The decimal representation.

Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.

The denominator of a decimal fraction is a power of ten. For example 3/10, 13/100, 456/100000 etc. are all decimal fractions. Percentage is probably the most commonly used decimal fraction.

To a power of 10 (to 10, 100, 1000, etc.).

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