Answer
411.3k+ views
Hint: We use laws of number systems to get the value.
Complete Step by Step solution:
We have $14 \div \dfrac{5}{6} = $$\dfrac{{84}}{5}$
We know that whenever in finding value there is a division we convert division to multiplication by taking reciprocal of divisor. Here divisor is $\dfrac{5}{6}$
We can write given equation as $14 \times \dfrac{6}{5}$
Now, we will do the simplification like cancellation if possible if not then multiplying numerator with numerator and denominator with denominator to get a single rational number.
As, there is no cancellation possible in numerator and denominator.
Therefore, we have $\dfrac{{84}}{5}$
Here, is an improper fraction as its numerator is greater than that of the denominator. Hence, we write it as a mixed fraction.
On dividing $84$ by $5$ we will get $16$ as quotient and $4$ as of remainder. Therefore a mixed fraction of $\dfrac{{84}}{5}$ is $16\dfrac{4}{5}$.
Hence, the required value of $14 \div \dfrac{5}{6}$ is $16\dfrac{4}{5}$.
Note: We should be very careful while doing calculations and also express improper fraction to mixed fraction.
Complete Step by Step solution:
We have $14 \div \dfrac{5}{6} = $$\dfrac{{84}}{5}$
We know that whenever in finding value there is a division we convert division to multiplication by taking reciprocal of divisor. Here divisor is $\dfrac{5}{6}$
We can write given equation as $14 \times \dfrac{6}{5}$
Now, we will do the simplification like cancellation if possible if not then multiplying numerator with numerator and denominator with denominator to get a single rational number.
As, there is no cancellation possible in numerator and denominator.
Therefore, we have $\dfrac{{84}}{5}$
Here, is an improper fraction as its numerator is greater than that of the denominator. Hence, we write it as a mixed fraction.
On dividing $84$ by $5$ we will get $16$ as quotient and $4$ as of remainder. Therefore a mixed fraction of $\dfrac{{84}}{5}$ is $16\dfrac{4}{5}$.
Hence, the required value of $14 \div \dfrac{5}{6}$ is $16\dfrac{4}{5}$.
Note: We should be very careful while doing calculations and also express improper fraction to mixed fraction.
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