How To Convert A Non Repeating Decimal Into A Fraction

How To Convert A Non Repeating Decimal Into A Fraction. Since give decimal value has 2 digits next to the decimal point multiply with 10. Multiplying and dividing by an appropriate power of ten does the trick.

Easy Transforming of NonTerminating and Repeating
Easy Transforming of NonTerminating and Repeating from

Of digits between the 1st repeated pattern and decimal = 0 so, multiply the given decimal by 1. Let \ (x\) be the repeating decimal. First, count how many places are to the right of the decimal.

To Change 2.25 To Fraction Firstly Write The Numerator Part With A Decimal Number Leaving The Denominator Part With 1.

Find the repeating digit (s) by examining the repeating decimal. The common steps to transform these decimals into fractions are: Count the number of decimal places to the right of the decimal point.

To Convert Repeating Decimals To Fractions:

Multiply both top and bottom by 10 for every number after the decimal point. Remove the decimal places by multiplication. So let me make these equal to each other.

Here, The Repeated Pattern Is 25.

Generally, decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number. Thus, the denominator becomes 9900. Now this is the trick here.

For Instance, Let's Say You Wanted To Convert The Following To A Fraction:

To convert a recurring decimal to a fraction, start by writing out the equation where (the fraction we are trying to find) is equal to the given number. Or you could say it is 7.7 repeating. And there is a repetitive pattern in those digits.

(For Example, If There Are Two Numbers After The Decimal Point, Then Use 100, If There Are Three Then Use 1000, Etc.)

For example, if we’re asked to convert 0.6 recurring to a fraction, we would start out with: Multiply both sides by \textcolor {blue} {10} for each decimal place that isn’t recurring (if there are none, it stays as step 1 ). Covert the given non terminating repeating decimal into fraction.

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