Question

\frac{25+\frac{5^{2}}{5}}{7-\frac{12}{4+2}}

Answer 1

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.