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How to convert a decimal number to a rational number with denominator to the power of 10?
Given :
Convert a decimal number to a rational number with denominator to the power of 10.
To do :
We have to convert a decimal number to a rational number with denominator to the power of 10.
Solution :
To convert a Decimal to a Rational number follow these steps
Step 1: Write down the decimal divided by 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the Rational number.
For example:
Convert 0.75 to a Rational number
Step 1: Write down 0.75 divided by 1.
$\frac{0.75}{1}$
Step 2: Multiply both top and bottom by 100 (because there are 2 digits after the decimal point, so that is $10\times10=100$)
$\frac{0.75\times100}{1\times100} = \frac{75}{100}$
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