Question

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

Answer 1

Hint: All the values which are in the form of ${\displaystyle \frac{p}{q}}$ 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 $={\displaystyle \frac{13}{25}}$
We know that we can multiply by $1$ in any number , therefore we will multiply ${\displaystyle \frac{13}{25}}$ by $1$
Now we can write it as $1\times \left({\displaystyle \frac{13}{25}}\right)$
Now we will write it as $\left(1\right)\times \left({\displaystyle \frac{13}{25}}\right)$
Now will divide $13$ by $25$
We will do it as we do now $25)\phantom{113}\overline{\phantom{1}13}$
Now we will write it as $25)\phantom{113000}\overline{\phantom{1}13000}$
Now we will divide it then we got $$25\stackrel{{\displaystyle 0.52}}{)\phantom{1{\displaystyle \frac{13000}{{\displaystyle \frac{125}{{\displaystyle \frac{50}{{\displaystyle \frac{50}{0}}}}}}}}}\stackrel{―}{\phantom{1}{\displaystyle \frac{13000}{{\displaystyle \frac{125}{{\displaystyle \frac{50}{{\displaystyle \frac{50}{0}}}}}}}}}}$$
Now we got decimal form of ${\displaystyle \frac{13}{25}}$ which is $$0.52$$ and we will multiply it with $(1)$ which we got in the question with it
Therefor the decimal form of ${\displaystyle \frac{13}{25}}$ is $(1)\times (0.52)=0.52$
Additional Information: - we know that in divide $$\begin{gathered} b\stackrel{{\displaystyle q}}{)\phantom{1a \\ r \\ }\overline{\phantom{1}a \\ r \\ }} \end{gathered}$$
Where $a=$ Dividend, $b=$ Divisor, $q=$ Quotient, $r=$ Remainder
And always $a=bq+r$ where $0⩽r<b$ 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.