Question

What is $66\dfrac{2}{3}$ as a fraction in simplest terms $?$

Answer 1

Hint: The question needs to be converted into unlike fraction from mixed fraction. The unlike fraction means the numerator is greater than the denominator of the fraction. In the conversion, the calculation which is done uses the BODMAS rule. The denominator is multiplied to the quotient and then remainder, which is the numerator is added to it.

Complete step by step solution:
The question asks here to convert the mixed fraction into the fraction. To convert the mixed fraction into unlike fraction, 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, $66\dfrac{2}{3}$ as given in the question, we get:
$\Rightarrow 66\dfrac{2}{3}=\dfrac{66\times 3+2}{3}$
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:
$\Rightarrow \dfrac{198+2}{3}$
Further calculation gives:
$\Rightarrow \dfrac{200}{3}$
Since the numerator and denominator, $200$ and $3$ respectively does not have a common factor, so the fraction would not be able to be simplified further.

$\therefore $ $66\dfrac{2}{3}$ as a fraction in simplest term will be $\dfrac{200}{3}$

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.
We can recheck the solution and see whether the answer is correct or not. To do this we need to divide the numerator with the denominator, writing the quotient and remainder in terms of natural number and not in decimal form. On doing this we get $66$ as a quotient and $2$ as remainder. So the unlike fraction in mixed form becomes $66\dfrac{2}{3}$ .
Hence, the answer we got was correct.