Sure, let's solve the equation step-by-step:
Given equation:
[tex]\[
\frac{19}{20} - \square = \frac{3}{20}
\][/tex]
We need to isolate [tex]\(\square\)[/tex]. To do that, let's move [tex]\(\square\)[/tex] to one side of the equation and all other terms to the other side of the equation.
First, add [tex]\(\square\)[/tex] to both sides of the equation to move it to the right side:
[tex]\[
\frac{19}{20} = \square + \frac{3}{20}
\][/tex]
Next, subtract [tex]\(\frac{3}{20}\)[/tex] from both sides to solve for [tex]\(\square\)[/tex]:
[tex]\[
\frac{19}{20} - \frac{3}{20} = \square
\][/tex]
Now, we need to subtract the fractions on the left side of the equation. Since they have the same denominator, we can subtract the numerators directly:
[tex]\[
\frac{19 - 3}{20} = \square
\][/tex]
Simplifying the numerator:
[tex]\[
\frac{16}{20} = \square
\][/tex]
Now, let's simplify the fraction [tex]\(\frac{16}{20}\)[/tex]. Both 16 and 20 can be divided by their greatest common divisor, which is 4:
[tex]\[
\frac{16 \div 4}{20 \div 4} = \frac{4}{5}
\][/tex]
Thus, the value of [tex]\(\square\)[/tex] is:
[tex]\[
\square = \frac{4}{5} = 0.8
\][/tex]
So, the final answer is:
[tex]\[
\square = 0.8
\][/tex]
