Question

How do you write $\dfrac{1}{5}$ as a decimal?

Answer 1

Hint: All the values which are in the form of $\dfrac{p}{q}$ called fraction or rational numbers where $q \ne 0$.Fractions are divided into part one part is numerator $\left( p \right)$ and other part is denominator $\left( q \right)$.

Complete step by step solution:
Given that –
Fraction $ = \dfrac{1}{5}$
We know that we can multiply by $1$ in any number, therefore we will multiply $\dfrac{1}{5}$ by $1$
Now we can write it as $1 \times \left( {\dfrac{1}{5}} \right)$
Now we will write it as $\left( 1 \right) \times \left( {\dfrac{1}{5}} \right)$
Now will divide $1$ by $5$
We will do it as normal as we do now $5\left){\vphantom{11}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{1}}$
Now we will write it as $5\left){\vphantom{1{1000}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{1000}}}$
Now we will divide it then we get $5\mathop{\left){\vphantom{1{\dfrac{{1000}}{{10}}}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{\dfrac{{1000}}{{10}}}}}}
\limits^{\displaystyle \,\,\, {0.2}}$
Now we got decimal form of $\dfrac{1}{5}$ which is $0.2$ and we will multiply it with $(1)$ which we got in the question with it
Therefor the decimal form of $\dfrac{1}{5}$ is $(1) \times (0.2) = 0.2$
Additional Information: - we know that in divide $b\mathop{\left){\vphantom{1
  a \\
  r \\
 }}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{
  a \\
  r \\
 }}}
\limits^{\displaystyle \,\,\, q}$
Where $a = $ Dividend, $b = $ Divisor, $q = $ Quotient, $r = $ Remainder
And always $a = bq + r$ where $0 \leqslant r < b$ because of this we will take a point in our divide so we add some extra zeroes for dividing.

Note:
When we divide any number if the dividend is less than the divisor then we add zeros in the last of the dividend so we can divide easily and put a point before the quotient.