![]() (Remember, a decimal that just goes on and on with no repeating pattern is irrational.) Can a Terminating Decimal Be Written as a Repeating Decimal? So a repeating decimal is a rational number whose decimal representation has some repeating pattern, and a terminating decimal is a rational number whose decimal representation eventually stops. 9/11 = 0.818181… is another repeating decimal since the pattern of digits “81” repeat forever.7/9 = 0.7777… is a repeating decimal since 7 goes on forever.3/5 = 0.6 is another terminating decimal number.1/3 = 0.3333… is a repeating decimal since the number 3 goes on forever.1/4 = 0.25 is a terminating decimal since it has a finite number of decimal digits.To see what the difference is, let’s take a look at a few examples of decimal representations of rational numbers: The answer is 2/5.What are Terminating and Repeating Decimals?īefore we get into the details of how to actually convert terminating and repeating decimals into opens in a new windowfractions, we’d better make sure we understand what it means for a rational number to be a “terminating” or “repeating” decimal in the first place. There are three types of fractions in math – proper fractions, improper fractions and mixed fraction.Īfter simplifying 2.13×100/100 it will be equal to 213/100. All integer operations can be done on fractions. The fractions can be denoted as a/b, where a, b are integers also b ≠ 0. The two numbers are known as numerator and denominator. It has one number into another separated by a bar. The decimal can also define as a fraction with the denominator of 10 or multiples of 10.Ī certain part of the whole is called as a fraction. In mathematics, a decimal number is a number that has a point or dot (.) somewhere in the number. In computers, a decimal number is a type of number that has base 10. X = 24/99 which on simplification gives 8/33 Question 2: Convert 0.2424… to fractions. Mixed recurring decimals have mixed numbers repeating such as 0.242424….If the digits after the decimals are repeated, it is called pure recurring decimals.Repeating decimals have a digit or a block of digits getting repeated endlessly.Question 4: Find the equivalent fraction for the decimal number 0.50.Question 3: Find the equivalent fraction for the decimal number 0.25. ![]()
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