To solve the equation [tex]\(\frac{8}{10} - \square = \frac{4}{10}\)[/tex], we'll follow a series of steps to isolate and find the value of the expression in the square.
### Step 1: Understand the Equation
We are given:
[tex]\[
\frac{8}{10} - \square = \frac{4}{10}
\][/tex]
Our goal is to determine the value of the expression represented by [tex]\(\square\)[/tex].
### Step 2: Isolate [tex]\(\square\)[/tex]
To isolate [tex]\(\square\)[/tex], we need to get rid of the subtraction. We do this by subtracting [tex]\(\frac{4}{10}\)[/tex] from [tex]\(\frac{8}{10}\)[/tex]:
[tex]\[
\square = \frac{8}{10} - \frac{4}{10}
\][/tex]
### Step 3: Subtract the Fractions
Both fractions have the same denominator, so we can directly subtract their numerators:
[tex]\[
\frac{8}{10} - \frac{4}{10} = \frac{8 - 4}{10} = \frac{4}{10}
\][/tex]
So, the value of [tex]\(\square\)[/tex] is:
[tex]\[
\square = \frac{4}{10}
\][/tex]
### Summary
Thus, the value of the square symbol [tex]\(\square\)[/tex] is [tex]\(\frac{4}{10}\)[/tex]. The fractions involved are [tex]\(\frac{8}{10}\)[/tex] and [tex]\(\frac{4}{10}\)[/tex], with the final answer being [tex]\(\frac{4}{10}\)[/tex].
### Verification
To confirm our finding, we can substitute back into the original equation:
[tex]\[
\frac{8}{10} - \frac{4}{10} = \frac{4}{10}
\][/tex]
This equation holds true, reinforcing that our determined value for the expression in the square is indeed correct.
