How To Write Non Terminating Repeating Decimals As Rational Numbers The conversion of the given decimal number into rational fraction can be carried out by using following conversion steps: step i: let x = 4.567878…. step ii: after examining we find that the repeating digits are ‘78’. step iii: now we place the repeating digits ‘78’ to the left of decimal point. Example 1: convert 1.888 to fraction. solution: the given decimal number is a repeating decimal, and we have to convert repeating decimal to fraction form. to do that, we need to have two equations one with the repeating digits on the right of the decimal point and the other with a decimal point to the right of the repeating digit(s).
How To Convert Decimal Number Into Rational Number A Plus Topper Contributed. rational numbers, when written as decimals, are either terminating or non terminating, repeating decimals. converting terminating decimals into fractions is straightforward: multiplying and dividing by an appropriate power of ten does the trick. for example, 2.556753 = \frac {2556753} {1000000}. 2.556753 = 10000002556753. In this article, we are going to discuss how to convert repeating decimals to fractions in an easy way. terminating and non terminating decimals. a terminating decimal is a decimal, that has an end digit. it is a decimal, which has a finite number of digits(or terms). example: 0.15, 0.86, etc. non terminating decimals are the one that does not. 4. solve for x. once you know what 9x equals, you can determine what x equals by dividing both sides of the equation by 9: on the left side of the equation you have 9x ÷ 9 = x. on the right side of the equation you have 4 9. therefore, x = 4 9, and the repeating decimal 0.4444 can be written as the fraction 4 9. 5. Non terminating and repeating decimals are rational numbers and can be represented in the form of p q, where q is not equal to 0. non terminating and repeating decimals are rational numbers and.
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