UPSKILL MATH PLUS

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Learn moreIn our currency system, we use \(50\) paise, \(75\) paise and \(25\) paise, which are actually in decimal form like \(₹ 0.50\) paise, \(₹ 0.75\) paise and \(₹ 0.25\). We use these decimal numbers for precise value.

But how do we convert these decimal number to rational number?

Simply multiplying the decimal by \(10\), \(100\) or \(1000\) depends on the decimal point of the decimal numbers.

Now let us see a few steps to write a decimal to a rational number.

**Steps to convert the decimal to a rational number:**

**1.**Multiply the decimal number on numerator and denominator by \(10\), \(100\) or \(1000\) depends on the decimal point of the given number.

**2.**Once the decimal is removed simplify it, then the product will be a rational number.

Example:

**Convert the decimal number to a rational number.**

**1)**2.7

Apply the theory mentioned above.

The given decimal number has one decimal point. Therefore to remove that one decimal point, multiply the decimal number by \(10\).

So, $2.7=\frac{2.7}{1}=\frac{2.7\times 10}{1\times 10}=\frac{27}{10}$.

**Therefore the conversion of**2.7

**to rational form is**\(=\) $\frac{27}{10}$.

**2)**5.13

The given decimal number has two decimal point. Therefore to remove that two decimal point, multiply the decimal number by \(100\).

$5.13=\frac{5.13}{1}=\frac{5.13\times 100}{1\times 100}=\frac{513}{100}$.

**3)**6.465

The given decimal number has three decimal point. Therefore to remove that three decimal point, multiply the decimal number by \(1000\).

$6.465=\frac{6.465}{1}=\frac{6.465\times 1000}{1\times 1000}=\frac{6465}{1000}$.