Answer :

GinnyAnswer
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.

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