Many people have trouble understanding what 0.6 repeating as a fraction. Here is a quick explanation to help clear things up.
Checkout this video:
What is a Fraction?
A fraction is a number that represents a part of a whole. The whole is called the “whole” or the “total.” The part is called the “fraction.” The bottom number of a fraction is called the “denominator.” It represents how many parts make up the whole. The top number of a fraction is called the “numerator.” It represents how many of those parts are included.
What is 0.6 Repeating as a Fraction?
0.6 repeating is a fraction that equals 0.6, or 6/10. This fraction can be represented as a percent, which would be 60%. When written as a decimal, 0.6 repeating is equal to 0.666…, or 6/9.
Convert 0.6 Repeating to a Fraction
To convert 0.6 repeating to a fraction, divide the decimal by the repeating digit (6 in this example), and then subtract the answer from the original decimal. This will leave you with the non-repeating part of the decimal. In the case of 0.6 repeating, that would leave you with 0. Then, count the number of digits that are repeating. In this case, it’s two digits (60), so your final answer would be 0.(2) or 1/3.
Convert 0.6 Repeating to a Decimal
To convert 0.6 repeating to a decimal, multiply 0.6 by 10 and add 6. The result is 6.6.
What is the Difference Between a Fraction and a Decimal?
The difference between a fraction and a decimal is that a decimal is a number that has a decimal point, while a fraction is a number that has a numerator and denominator. A fraction represents part of a whole, while a decimal represents an equal division of the whole. For example, if there are ten pieces of candy in a jar and you want to divide them equally, each piece would be represented by 0.1 (one tenth). If you were to take six of those pieces, the fraction would be 6/10, or three tenths.