The difference between the number formed by all the digits in decimal part and the number formed by digits that are not repeated, gives the numerator of the vulgar fraction and for its denominator the number formed by as many nines as there are recurring digits which are repeated followed by as many zeros as the number of non-repeating or non-recurring digits. Mostly, bars are used over the repeating digits in the recurring decimals, for example, 0.333333.0.3¯, the repeated term in decimal is represented by a bar on top of the repeated part. (ii)įor solving the problems on conversion of mixed recurring decimals into A recurring decimal is a non-terminating decimal that has a digit or a sequence of digits repeating over and over and over again without ever ending. Sides by 10 (Since number of digits without bar is 1) Recurring decimals into vulgar fractions: 1. Worked-out examples for the conversion of mixed We get the required vulgar fraction in the lowest form. You can then simplify the fraction if needed. To turn it into a fraction, place the 4 over 10, to give 4/10. As an example, for 0.4 you'll find the four is in the tenths position. (vi) Suppose there are n-digits having bar, multiply both sides by 10 n.ĭivide both the sides of the equation by the coefficient of x. To convert a decimal to a fraction, take the decimal number and write it as the numerator (top number) over its position value. The number of digits having bar after the decimal point. (iii) Suppose there are n-digits without bar, multiply both sides by 10 n, so that only the repeating decimal digit is on the right side of the decimal point. The number of digits having no bar after the decimal point. The decimal form by removing the bar from the top and put it equal to x (any variable).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |