![]() ![]() What is the Difference Between the Fraction and the Decimal? To convert any fraction to decimal form, we just need to divide its numerator by denominator. Divide the number by the place value of the last digit in the fractional part of the number.Rewrite the number by ignoring the decimal point.To convert a decimal to a fraction, we follow three basic steps mentioned below: For example, decimal form = 7.5 = 75/10 = 15/2 (fraction form of 7.5). To convert the number from decimal to fraction form we divide the number by the power of 10 such that the number of zeros in that should be equal to the number of decimal places in the given number and simplify the fraction. Express in terms of the lowest Equivalent fraction.Ĭheck out few more interesting articles related to decimal to fraction conversion.įAQs on Converting Decimal to Fraction What is Decimal to Fraction Conversion?ĭecimal to fraction conversion is a procedure of writing decimal values in the form of fraction value and vice-versa.Re-write in the fraction form and simplify it. Use that to determine what the denominator of the fraction would be.Identify the place value of the last digit in the number.Procedure to convert decimal to fraction: ∴ 2.5 can be wriiten as \(2\dfrac \)" in. Step 3: 5/10 = 1/2 (in the simplified form).Step 2: 0.5 can be written as 5/10 (as a fraction).Step 1: Consider 2 and 0.5 as separate entities.Step 4- Attach the whole number part of the original number with the fraction obtained in step 3.Step 3- Simplify the fraction obtained.Step 2- Write the decimal part in the fractional form by ignoring the decimal point and dividing it by a power of 10 in which there is the same number of zeros as the decimal places.Step 1- Consider the whole number part and decimal part in the given decimal number separately.Look at the steps to convert such decimal numbers into mixed fraction form: ∴ x= 7/9 Converting Decimals to Mixed Number Fractionsĭecimals with values greater than 1 can be written as mixed fractions. Multiply the recurring decimal by 10, i.e., Let's consider an example to understand that. To convert any repeating decimal to a fraction, there is a particular method that needs to be applied. Repeating decimals are those that do not end after a finite number of decimal places and some particular digits or a single digit after the decimal point keep on repeating in the number. Converting Decimals to Mixed Number Fractions.Converting Repeating Decimal to Fraction.There are three individual cases that you might come across while converting decimal to fraction, and those are listed below: Go through the sections below to find more examples on how to convert fractions to decimals. Step 3: Fraction format: Numerator/Denominator = 5/10 Step 1: Identify the place value of the last digit.Ġ.5 <- 5 is in the tenths place. Solution: Let's apply the steps that we learned. Let us look at an example to understand these steps. ![]() Step 4- Express in terms of the lowest Equivalent fraction.Step 2- Use that to determine what the denominator of the fraction would be.Step 1- Identify the place value of the digits after the decimal, in the number.The only difference, in the various expansions, is where in the pattern the expansion starts - which is sometimes in the middle of one of the numbers in the sequence! Weird, huh?Īnd, yes, the elevenths, all the way through to 10/ 11, are repeated multiples of 9: 0909, 1818, 2727, on up to 9090.Here is a simple 4-step process to convert any decimal into a fraction. After the 5, we get the first four multiples of 7. They all contain the exact same sequence of digits: 5, 7, 14, and 28. Another curious note: Check out the decimal expansions for the sevenths. ![]()
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