Certainly! Let's solve the equation [tex]\(\frac{\square}{24} = \frac{3}{8}\)[/tex] step-by-step.
1. Understand the equation:
The equation given is a proportion between two fractions. To find the value of the unknown (which we represent as [tex]\(\square\)[/tex]), we need to solve for [tex]\(\square\)[/tex].
2. Cross-multiply to eliminate the fractions:
To solve the equation, we can use cross-multiplication. This method involves multiplying across the equals sign in a diagonal manner. Specifically, we multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[
\square \times 8 = 3 \times 24
\][/tex]
3. Perform the multiplication:
Now, we perform the multiplication on both sides of the equation:
[tex]\[
\square \times 8 = 72
\][/tex]
4. Isolate the unknown variable:
To find the value of [tex]\(\square\)[/tex], we need to isolate it. We do this by dividing both sides of the equation by 8:
[tex]\[
\square = \frac{72}{8}
\][/tex]
5. Simplify the right-hand side:
Finally, we simplify the division:
[tex]\[
\square = 9
\][/tex]
Therefore, the value of [tex]\(\square\)[/tex] is [tex]\(9\)[/tex].
