Respuesta :

Answer:

1/4

Step-by-step explanation:

i showed and explained each step in the attachment

Ver imagen Andrea944

The simplest form of 7/8 + (-2/3) over 5/6 is [tex]\frac{1}{4}[/tex]

Solution:

Given, expression is 7/8 + (- 2/3) over 5/6

We have to find the value of the above given expression in simplest form.

Now, take the given expression.

⇒ 7/8 + (- 2/3) over 5/6

The above expression can be expanded as follows:

[tex]=\frac{\frac{7}{8}+\frac{-2}{3}}{\frac{5}{6}}[/tex]

[tex]=\left(\frac{7}{8}+\frac{-2}{3}\right) \times \frac{6}{5}[/tex]

[tex]\begin{array}{l}{=\frac{21-16}{24} \times \frac{6}{5}} \\\\ {=\frac{5}{24} \times \frac{6}{5}=\frac{6}{24}=\frac{1}{4}}\end{array}[/tex]

Hence the value of given expression in simplest form is [tex]\frac{1}{4}[/tex]