What is \[\dfrac{12}{25}\] as a whole number?
Answer
597.6k+ views
Hint: We are asked to show \[\dfrac{12}{25}\] as a whole number. Since it is in the form of a fraction, it can be simplified and shown or else rounding it off towards the nearest whole number would be another way of expressing \[\dfrac{12}{25}\] as a whole number.
Complete step-by-step answer:
Let us learn how we can show a fraction into a whole number. Suppose we have a fraction with numerator as one and denominator as some random number, then we can multiply the numerator with the same number as denominator and on cancelling the numerator and denominator, we get one as result which is in the form of a whole number. Else, we can simplify into decimals and round it off to the nearest whole number but that would not be the accurate value. If the numerator is greater than the denominator, this rule is applicable.
Now let us express\[\dfrac{12}{25}\] as a whole number.
On performing simple division, we get \[0\] as quotient and \[12\] as remainder.
Now let us apply the division rule i.e. \[dividend=divisor\times quotient+remainder\]
\[\begin{align}
& \Rightarrow 12=25\times 0+12 \\
& 12=12 \\
\end{align}\]
We can conclude from above that, \[0\] would be the whole number of\[\dfrac{12}{25}\].
If we further solve the fraction \[\dfrac{12}{25}\], we get \[0.48\] as the result.
On rounding it off towards the nearest whole number, still it gives us \[0\].
Note: If for instance, the given fraction would be a mixed fraction, then find the product of the denominator and the whole number part and then add the numerator to the product obtained. And finally we obtain an improper fraction and this can be solved in the above shown way.
Complete step-by-step answer:
Let us learn how we can show a fraction into a whole number. Suppose we have a fraction with numerator as one and denominator as some random number, then we can multiply the numerator with the same number as denominator and on cancelling the numerator and denominator, we get one as result which is in the form of a whole number. Else, we can simplify into decimals and round it off to the nearest whole number but that would not be the accurate value. If the numerator is greater than the denominator, this rule is applicable.
Now let us express\[\dfrac{12}{25}\] as a whole number.
On performing simple division, we get \[0\] as quotient and \[12\] as remainder.
Now let us apply the division rule i.e. \[dividend=divisor\times quotient+remainder\]
\[\begin{align}
& \Rightarrow 12=25\times 0+12 \\
& 12=12 \\
\end{align}\]
We can conclude from above that, \[0\] would be the whole number of\[\dfrac{12}{25}\].
If we further solve the fraction \[\dfrac{12}{25}\], we get \[0.48\] as the result.
On rounding it off towards the nearest whole number, still it gives us \[0\].
Note: If for instance, the given fraction would be a mixed fraction, then find the product of the denominator and the whole number part and then add the numerator to the product obtained. And finally we obtain an improper fraction and this can be solved in the above shown way.
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