## Convert repeating decimals into fractions

NCERT Grade 7 Mathematics, Chapter 9: Logical Numbers- The chapter is about rational numbers, as the name implies. The chapter includes a thorough description of rational numbers. In the first section of the chapter, logical numbers, the following key points and topics are discussed:
The numerator is a multiple of 3 while the denominator is a multiple of 5, and both multiples are increasing as we increase them further. As a result, the pattern’s next four rational numbers are
This fraction is made up of 5 equal parts out of a total of 8 parts. It is on the negative side of the number line, as shown by the negative symbol. As a result, and space on the number line between two integers must be divided into eight equal parts.
This fraction denotes one complete part and three out of four equal parts. It is on the negative side of the number line, as shown by the negative symbol. As a result, each space on the number line between two integers must be divided into four equal parts.

## How to find rational numbers between any two given numbers

To find a “exact expression,” use quotation marks. To find variants of a search word, add an asterisk (*) to it (transp*, 32019R*). To find variants of your search word, use a question mark (?) instead of a single character (ca?e finds case, cane, and care).
The Council Directive 77/388/EEC of 17 May 1977 on the harmonisation of Member States’ laws relating to turnover taxes — Common method of value added tax: uniform basis of assessment (1) has been significantly amended many times. Now that new changes to the said Directive are being made, it is desirable to recast the Directive for the sake of clarification and rationalization.
All provisions of Council Directive 67/227/EEC of 11 April 1967 on the harmonisation of Member States’ legislation concerning turnover taxes (2) that are still relevant should be included in the recast document. As a result, the Directive should be revoked.
It is necessary to recast the structure and language of the Directive to ensure that the regulations are interpreted in a simple and fair way, consistent with the concept of better control, even though this would not, in principle, result in material changes to the current legislation. However, the recasting process necessitates a limited number of substantial changes, which should be made. Where such changes are made, the rules governing transposition and entry into force list them exhaustively.

### Equivalent fractions – finding the missing number & variable

The period of a fraction or a decimal number with repeated decimals can be calculated using this method. In the decimals of a number, the cycle is a sequence of digits that is repeated indefinitely (usually a rational number or a periodic fraction).
The period of a fraction or a decimal number with repeated decimals can be calculated using this method. In the decimals of a number, the cycle is a sequence of digits that is repeated indefinitely (usually a rational number or a periodic fraction).
The series of numbers that are repeated at infinity in the decimal writing of a rational number or a fraction (numerator over denominator) is known as periodic decimal expansion/development.

### Writing non terminating recurring decimal in the form p by q

One-quarter (one-fourth) of a cake has been cut. The remaining three-quarters are displayed. Dotted lines show where the cake should be cut to break it into equal sections. The fraction 1/4 constitutes one-fourth of the cake.
A fraction (from the Latin fractus, which means “broken”) denotes a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction denotes the number of pieces of a certain size, such as one-half, eight-fifths, or three-quarters. A normal, vulgar, or simple fraction (examples: ) has a numerator above a line (or before a slash) and a non-zero denominator below (or after) the line. In fractions that aren’t common, such as compound fractions, complex fractions, and mixed numerals, numerators and denominators are often used.
The numerator and denominator of positive common fractions are both natural numbers. The denominator shows how many of those parts make up a unit or a whole, while the numerator represents a number of equivalent parts. Since zero parts can never make up a whole, the denominator cannot be zero. In the fraction 34, for example, the numerator 3 indicates that the fraction represents three equal parts, and the denominator 4 indicates that four parts make up a whole. The example to the right exemplifies