Question

How do you write $\dfrac{{13}}{{25}}$ as a decimal?

Answer 1

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

Complete step by step solution:
Given that –
Fraction $ = \dfrac{{13}}{{25}}$
We know that we can multiply by $1$ in any number , therefore we will multiply $\dfrac{{13}}{{25}}$ by $1$
Now we can write it as $1 \times \left( {\dfrac{{13}}{{25}}} \right)$
Now we will write it as $\left( 1 \right) \times \left( {\dfrac{{13}}{{25}}} \right)$
Now will divide $13$ by $25$
We will do it as we do now $25\left){\vphantom{1{13}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{13}}}$
Now we will write it as $25\left){\vphantom{1{13000}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{13000}}}$
Now we will divide it then we got \[25\mathop{\left){\vphantom{1{\dfrac{{13000}}{{\dfrac{{125}}{{\dfrac{{50}}{{\dfrac{{50}}{0}}}}}}}}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{\dfrac{{13000}}{{\dfrac{{125}}{{\dfrac{{50}}{{\dfrac{{50}}{0}}}}}}}}}}}
\limits^{\displaystyle \,\,\, {0.52}}\]
Now we got decimal form of $\dfrac{{13}}{{25}}$ which is \[0.52\] and we will multiply it with $(1)$ which we got in the question with it
Therefor the decimal form of $\dfrac{{13}}{{25}}$ is $(1) \times (0.52) = 0.52$
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.