Question

How do you convert $\dfrac{2}{7}$ into a decimal and percent?

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 the other part is the denominator $\left( q \right)$.

Complete step by step solution:
Given that –
Fraction $ = \dfrac{2}{7}$
We know that we can multiply by $1$ in any number, therefore we will multiply $\dfrac{2}{7}$ by $1$
Now we can write it as $1 \times \left( {\dfrac{2}{7}} \right)$
Now we will write it as $\left( 1 \right) \times \left( {\dfrac{2}{7}} \right)$
Now will divide $2$ by $7$
We will divide it as a normal divide as we do now $7\left){\vphantom{12}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{2}}$
Now we will write it as $7\left){\vphantom{1{2000}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{2000}}}$
Now we will divide it then we get $7\mathop{\left){\vphantom{1{\dfrac{{2000}}{{14}}}}}\right.
\!\!\!\!\overline{\,\,\,\vphantom 1{{\dfrac{{2000}}{{14}}}}}}
\limits^{\displaystyle \,\,\, {0.285}}$
Now we got decimal form of $\dfrac{2}{7}$ which is $0.285$ and we will multiply it with $(1)$ which we got in the question with it

Therefore, the decimal form of $\dfrac{2}{7}$ is $(1) \times (0.285) = 0.285$

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.