\frac{25+\frac{5^{2}}{5}}{7-\frac{12}{4+2}}
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.
To simplify the expression \(\frac{25+\frac{5^{2}}{5}}{7-\frac{12}{4+2}}\), we can follow these steps:
1. Start by simplifying the numerator.
\(\frac{5^{2}}{5} = \frac{25}{5} = 5\)
So, the numerator becomes \(25 + 5 = 30\).
2. Simplify the denominator by calculating the expression inside the parentheses first.
\(4 + 2 = 6\)
The denominator becomes \(7 - \frac{12}{6}\).
3. Divide 12 by 6:
\(\frac{12}{6} = 2\)
So, the denominator becomes \(7 - 2 = 5\).
4. Now, substitute the simplified numerator and denominator back into the original fraction:
\(\frac{30}{5}\)
5. Divide 30 by 5:
\(\frac{30}{5} = 6\)
Therefore, the simplified version of the expression \(\frac{25+\frac{5^{2}}{5}}{7-\frac{12}{4+2}}\) is 6.