A whole one can be divided into 2 halves or 3 thirds or 4 quarters and so on. The whole may be a single object or a group of objects. This means that when one whole is divided into equal parts, each part is a fraction. The whole may be a single or a group of objects. What are Fractions?Ī fraction is a number representing a part of a whole.
The whole part and the fractional part of a decimal are separated by a dot “.
#Decimal to fraction converter simplest form how to
How to Convert a Repeating Decimal to Fraction?
Both the denominator and numerator have common factors, therefore simplify the fraction to its lowest form.
The fractional can not be simplified further, and hence the answer is 2533/500.By just looking at the last digits both the numerator and denominator, the numbers are even.You can notice that dividing the number is the same as writing it in fractional form. Write the decimal as a whole number and divide it by 10 3.First count the number of decimal places.Because the both the numerator and denominator have a common factor, then the fraction can be simplified to the lowest terms: 5/100 = 1/20Ĭonvert the decimal number 5.066 into a fraction.Since 10 2 is the same as 10 x 10 = 100, the write the number in fractional form: 5/100.Ignore the decimal point and write the number as the numerator and take also 10 2 to be the denominator.The number 0.05 contain two decimal places, therefore n = 2.The fraction is already in its lowest terms, therefore, 7/10 is our answer.Ĭonvert 0.05 to a fraction and simplified it in the lowest form.And since 10 1 = 10, then our fraction is 7/10. Take also the power of 10 1 as the denominator. Take the number as a numerator by ignoring the decimal point.The number 0.7 has only one decimal place, therefore our n is 1.Let us solve the following examples so get a better understand of how to convert a decimal into fraction. The simplified fraction is the required fraction from the given decimal number.Now the fraction can be simplified by reducing the denominator and numerator with a common factor.
Write the number without a decimal point as a numerator and the power of 10 n as the denominator.Let n be the number of digits on the right side after the decimal point.First, begin by counting the numbers to the right side after the decimal point.Let us learn these steps on to convert the decimal into fractions: This article has elaborated clearly all the steps of converting decimals to fractions, with some examples. We can easily convert a decimal number into a fraction by following simple steps and no calculators are required. Examples of fractions are, 5/8, 7/3 and 2 1/ 5. There are three types of fractions namely: Proper, Improper and Mixed fraction. The two integers a and b are referred to as the numerator and denominator respectively. Example of decimal numbers are: 0.005, 3.2, 10.9, 55.1, 1.28, 9.234, etc.Ī fraction on the other hand is portion of a whole number usually denoted as a ratio of two integers a/b. Basically, decimal numbers are just fractions having a denominator expressed in power of 10. To start with, a decimal number is probably a number which has a dot (.) between the digits, this dot is known as a decimal point. Convert Decimals to Fractions – Explanation & Examplesīefore we learn how to convert decimals to fractions, there are a number of basic information we need to know about decimals and fractions.
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