`((5 + 5 + 5 + 5) + 5)/(3 + 3 + 3 + 3 + 3)` is equal to

Options

A. 1
B. `(3)/(10)`
C. `(4)/(9)`
D. `(5)/(3)`

Answer

To solve the expression \(\frac{(5 + 5 + 5 + 5) + 5}{3 + 3 + 3 + 3 + 3}\), we will follow these steps:

### Step 1: Simplify the numerator
The numerator is \(5 + 5 + 5 + 5 + 5\).
- We can add these values together:
\[ 5 + 5 + 5 + 5 + 5 = 25 \]

### Step 2: Simplify the denominator
The denominator is \(3 + 3 + 3 + 3 + 3\).
- We can add these values together:
\[ 3 + 3 + 3 + 3 + 3 = 15 \]

### Step 3: Write the simplified expression
Now, we can rewrite the expression using the simplified numerator and denominator:
\[ \frac{25}{15} \]

### Step 4: Simplify the fraction
Next, we simplify the fraction \(\frac{25}{15}\).
- We can divide both the numerator and the denominator by their greatest common divisor, which is 5:
\[ \frac{25 \div 5}{15 \div 5} = \frac{5}{3} \]

### Final Answer
Thus, the value of the expression \(\frac{(5 + 5 + 5 + 5) + 5}{3 + 3 + 3 + 3 + 3}\) is \(\frac{5}{3}\).

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