Sure, let's solve this equation step by step and see if it holds true:
The equation we need to verify is:
[tex]\[
\frac{9}{5} = \frac{9-3}{2}
\][/tex]
First, let's simplify each side of the equation separately:
Left Side:
[tex]\[
\frac{9}{5}
\][/tex]
This fraction remains as it is because there are no additional operations to perform.
Right Side:
[tex]\[
\frac{9-3}{2}
\][/tex]
First, simplify the numerator:
[tex]\[
9 - 3 = 6
\][/tex]
Now, substitute back into the fraction:
[tex]\[
\frac{6}{2}
\][/tex]
Next, simplify this fraction:
[tex]\[
\frac{6}{2} = 3
\][/tex]
Now we have the simplified forms of both sides of the original equation:
[tex]\[
\frac{9}{5} \quad \text{and} \quad 3
\][/tex]
Comparing these two results:
[tex]\[
\frac{9}{5} \approx 1.8
\][/tex]
[tex]\[
3.0
\][/tex]
We see that:
[tex]\[
1.8 \neq 3.0
\][/tex]
So, the original equation does not hold true. The left side of the equation [tex]\(\frac{9}{5}\)[/tex] is not equal to the right side of the equation [tex]\(\frac{6}{2}\)[/tex]. Therefore, the equation [tex]\(\frac{9}{5} = \frac{9-3}{2}\)[/tex] is false.
