can someone show me the steps to this equation. z- 4(2/3) = 2(2/3) it read Z minus four and 2/3 equals two and two thirds just to clear confusion that the 2 and 4 are not being multiplied by 2/3

Mathematics · High School · Wed Jan 13 2021

Answered on

Give the equation:

z - 4 ⅔ = 2 ⅔

Determine the answer to the equation.

Solution:

In order to easily solve the equation, we change the mixed number into improper fractions. To do so, we multiply the whole number to the denominator, then we add the product to the numerator.

 - 4 ⅔
= -14/3

2 ⅔
=11 / 3

Now the next step is to transpose -14/3 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.

z - 14/3 = 11 / 3

z = 11 / 3 + 14/3

z = 25/3

Final answer:

z = 25/3