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# Write the following number in the form $\dfrac{p}{q}$ , where p and q are the integers.Three and a half

Last updated date: 28th Feb 2024
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Hint: Here in this question, we have to convert the given number into fraction in the form $\dfrac{p}{q}$ . The given number is in the form of decimal. To convert the decimal number to the fraction we multiply the given number by the multiples of $10$ .

The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there is a $1$ number, so we have to multiply and divide the decimal by $10$ .
So, the number given to us is three and a half.
So, the number can be written as $3.5$ .
Now, there is only one number after the decimal point. So, for the conversion of decimal to fraction we multiply and divide the number by $10$ . So, we have,
$\Rightarrow 3.5 \times \dfrac{{10}}{{10}}$
By multiplying in the numerator we get,
$\Rightarrow \dfrac{{35}}{{10}}$
Now, there is a common factor in numerator and denominator. Hence, cancelling the common factors in numerator and denominator, we get,
$\Rightarrow \dfrac{7}{2}$
Now, the fraction is in its simplest form.
Hence, the number “Three and a half” in the form $\dfrac{p}{q}$ is $\dfrac{7}{2}$ .
So, the correct answer is “ $\dfrac{7}{2}$ ”.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. One must be sure of the calculative steps.