Question

What is $1\dfrac{2}{3}$ written as a decimal and a percent?

Answer 1

Hint: To solve this question we need to know the concept of fraction and decimal. To solve the question the first step will be to convert mixed fraction into unlike fraction from. The unlike fraction means the numerator is greater than the denominator of the fraction. The second step is to divide the numerator from the denominator and write it in decimal form. The third step is to change in percentage form by multiplying and dividing the decimal number by $100$.

Complete step by step answer:
The question asks here to convert the mixed fraction into the decimal. To convert into decimal the first step is to convert the mixed fraction into unlike fraction. For doing this we will do the following step. Consider the mixed fraction $a\dfrac{b}{c}$, it will be converted into unlike fraction which will be $\dfrac{a\times c+b}{c}$. So applying the same formula to convert the fraction, $1\dfrac{2}{3}$ as given in the question, we get:
$\Rightarrow 1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}$
To calculate the above problem, we will use the BODMAS rule, which says that multiplication should be done first and then addition. On doing the same we get:
$\Rightarrow \dfrac{3+2}{3}$
Further calculation gives:
$\Rightarrow \dfrac{5}{3}$
On dividing $5$ with $3$ we get $1.6667$ as the decimal form.
Since percentage is the fraction per $100$, so $1.6667$ in percentage form could be done by following the steps, so to do this we will divide and multiply the number by $100$. On doing this we get:
$\Rightarrow 1.6667\times \left( \dfrac{100}{100} \right)$
Multiplying $100$ to the numerator we get:
$\Rightarrow \dfrac{100\times 1.6667}{100}$
$\Rightarrow \dfrac{166.67}{100}$
$\Rightarrow 166.67\%$

$\therefore $ $1\dfrac{2}{3}$ in decimal and a percent form is written as $1.6667$ and $166.67\%$ respectively.

Note: Calculation of the question should always follow BODMAS rule, which says the calculation should be in order of bracket, of, division, multiplication, addition and subtraction. In case the BODMAS rule is not followed the error occurs in the calculation. Do remember that the percentage is the fraction of $100$.