0.7 repeating as a fraction is an infinite decimal, which means that the 7 goes on forever. Learn how to convert 0.7 to a fraction and what it means for a decimal to be repeating.
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What is a Fraction?
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 (e.g. 1/2, 2/5, 3/4) consists of an integer numerator displayed above a line (or before a slash) and an integer denominator, displayed below (or after) the line. Numerators and denominators are also used in fractions that are not common (such as 3½ or 2⅔), where they denote counting numbers mixed with fractions greater than one
What is a Repeating Decimal?
In mathematics, a repeating decimal is a decimal representation of a rational number where the integer part and the fractional part are infinitely long but periodic with a repeating sequence of digits after the decimal point. For example, the decimal representation of 1⁄3 begins as 0.333333333333 and ends with 0.3333 (the threes repeat forever). Similarly, 1⁄11 = 0.090909090909 and 1⁄16 = 0.0625000000 (the zeros repeat forever).
What is 0.7 Repeating as a Fraction?
0.7 repeating as a fraction is equal to 7/10. To convert 0.7 repeating into a fraction, you can use the long division method.
How to Convert 0.7 Repeating to a Fraction
To convert 0.7 repeating to a fraction, divide 7 by 10. The answer is 0.7, or 7/10.
Examples of 0.7 Repeating as a Fraction
When 0.7 repeating is turned into a fraction, it becomes 7/10, or more generally, (70)/(100). To get 0.7 repeating as a fraction, take the digit after the decimal and keep going until you hit the decimal point again. In this case, 7 is the digit after the decimal, so we just stop there. Repeating decimals can also be turned into fractions by using long division.