Question

Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12

Answer 1

Given:

The expression is

$\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}$

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

$\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}$

It can be written as

$=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}$

Taking LCM, we get

$=\dfrac{16-5-1}{6}$

$=\dfrac{10}{6}$

$=\dfrac{5}{3}$

The mixed fraction of this improper fraction is

$=\dfrac{1\times 3+2}{3}$

$=1\dfrac{2}{3}$

So, the expression $1\dfrac{2}{3}$ is equivalent to the given expression.

Therefore, the correct option is A.