First, let's simplify the expression inside the parentheses in the denominator:
\frac{12}{4+2} = \frac{12}{6} = 2
Now, we can substitute this value back into the main expression:
\frac{25+\frac{5^{2}}{5}}{7-2}
Next, let's simplify the expression inside the parentheses in the numerator:
\frac{5^{2}}{5} = \frac{25}{5} = 5
Now, we can rewrite the expression using the simplified values:
\frac{25+5}{7-2}
Simplifying the numerator:
25+5 = 30
Now, we can rewrite the expression with the simplified numerator:
\frac{30}{7-2}
Simplifying the denominator:
7-2 = 5
Now, we can rewrite the expression with the simplified denominator:
\frac{30}{5}
Finally, we can simplify the expression by dividing:
\frac{30}{5} = 6
Therefore, the final simplified expression is 6.
\frac{25+\frac{5^{2}}{5}}{7-\frac{12}{4+2}}
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