Question

What is $\dfrac{3}{5}$ divided by 20?

Answer 1

Hint: Assume the required expression as E. Now, to divide $\dfrac{3}{5}$ by 20, take the reciprocal of 20 and multiply it with $\dfrac{3}{5}$. Cancel the common factors (if present) and multiply the numerator of the first fraction with the numerator of the second fraction and similarly multiply the denominator of the first fraction with the denominator of the second. Obtain the resultant fraction to get the answer.

Complete step by step solution:
Here we have been asked to divide $\dfrac{3}{5}$ by 20. So the dividend is $\dfrac{3}{5}$ and the divisor is 20. Let us assume this expression as E, so we have,
$\Rightarrow E=\dfrac{3}{5}\div 20$
Now, when we have to divide a number ‘a’ with another number ‘b’ then what we do is, we first take the reciprocal of the number ‘b’ and then multiply it with the number ‘a’. To take the reciprocal of a number we divide 1 by that number. For example: - reciprocal of b will be \[\dfrac{1}{b}\].
Let us come to the question. Taking the reciprocal of 20 we get \[\dfrac{1}{20}\]. Now, we have to multiply \[\dfrac{1}{20}\] with $\dfrac{3}{5}$, so we get,
\[\Rightarrow E=\dfrac{3}{5}\times \dfrac{1}{20}\]
In the above expression we can see that there are no common factors than can be cancelled in the numerator and the denominator so let us write multiply the numerators of the two fractions to get the resultant numerator and denominators of the two fractions to get the resultant denominator. So we get,
\[\begin{align}
  & \Rightarrow E=\dfrac{3\times 1}{5\times 20} \\
 & \therefore E=\dfrac{3}{100} \\
\end{align}\]
Hence, the above value is our answer.

Note: Note that we have left the answer in the fraction as nothing is said in the question if we have to convert them into the decimal. However, if you want to convert it into the decimal then move two digits towards the left of the number present in the numerator and mark the decimal point to get the answer as 0.03.