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How do you change a decimal fraction to an equivalent fraction? - Answers
In theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.
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How do you change a decimal fraction to an equivalent fraction? - Answers
In theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.
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How do you change a decimal fraction to an equivalent fraction? - Answers
In theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.
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- og:descriptionIn theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.
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