Express the following fractions as decimals correct to four decimal places.Then ecpress the decimals a petcentages:
Answers
A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: {\displaystyle {\tfrac {1}{2}}}{\tfrac {1}{2}} and {\displaystyle {\tfrac {17}{3}}}{\displaystyle {\tfrac {17}{3}}}) consists of a numerator displayed above a line (or before a slash), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",[1][2] although the abbreviations "pct.", "pct" and sometimes "pc" are also used.[3] A percentage is a dimensionless number (pure number); it has no unit of measurement.
The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system.[1] The way of denoting numbers in the decimal system is often referred to as decimal notation.[2]
A decimal numeral, or just decimal, or casually decimal number, refers generally to the notation of a number in the decimal numeral system. Decimals may sometimes be identified by a decimal separator (usually "." or "," as in 25.9703 or 3,1415).[3][4] Decimal may also refer specifically to the digits after the decimal separator, such as in "3.14 is the approximation of π to two decimals".
The numbers that may be represented in the decimal system are the decimal fractions. That is, fractions of the form a/10n, where a is an integer, and n is a non-negative integer.
The decimal system has been extended to infinite decimals for representing any real number, by using an infinite sequence of digits after the decimal separator (see Decimal representation). In this context, the decimal numerals with a finite number of non–zero places after the decimal separator are sometimes called terminating decimals. A repeating decimal is an infinite decimal that after some place, repeats indefinitely the same sequence of digits (e.g., 5.123144144144144... = 5.123144).[5] An infinite decimal represents a rational number if and only if it is a repeating decimal or has a finite number of nonzero digits.