Question

Which value for x makes the sentence true? 2/3x=8/9

Answer 1

Answer: D

Step-by-step explanation:

The goal is to isolate 'x'. If you apply an operation to both sides of an equation, it does not change the equality. If you multiply both sides of the equation by 3/2, then the 2/3 on the left-side will cancel leaving the following:

$x=\frac{8}{9} *\frac{3}{2}$

When multiplying fractions, you simply multiply through and through. Therefore the above equation becomes:

$x=\frac{24}{18}$

The fraction can be simplified by dividing the top and bottom by 6, to get

$x=\frac{4}{3}$