Simplify:- [(7+7+7) ÷ 7]/ [(5+5+5) ÷ 5]

Options

A. a. 1
B. b. 7
C. c. 5
D. d. 7/5

Answer

To simplify the expression \(\frac{(7+7+7) \div 7}{(5+5+5) \div 5}\), we will follow these steps:

### Step 1: Simplify the numerator
The numerator is \(7 + 7 + 7\).
\[ 7 + 7 + 7 = 21 \]
So, the numerator becomes:
\[ \frac{21}{7} \]

### Step 2: Simplify the denominator
The denominator is \(5 + 5 + 5\).
\[ 5 + 5 + 5 = 15 \]
So, the denominator becomes:
\[ \frac{15}{5} \]

### Step 3: Rewrite the expression
Now, we can rewrite the expression with the simplified numerator and denominator:
\[ \frac{\frac{21}{7}}{\frac{15}{5}} \]

### Step 4: Simplify the fractions
Now, we simplify \(\frac{21}{7}\) and \(\frac{15}{5}\):
\[ \frac{21}{7} = 3 \quad \text{and} \quad \frac{15}{5} = 3 \]

### Step 5: Substitute back into the expression
Now we substitute these values back into the expression:
\[ \frac{3}{3} \]

### Step 6: Final simplification
Finally, we simplify \(\frac{3}{3}\):
\[ \frac{3}{3} = 1 \]

Thus, the simplified value of the expression is:
\[ \boxed{1} \]