Simplify:- 1/8th of 6/7th of 11200 = ?

Options

A. a. 1100
B. b. 1220
C. c. 1430
D. d. 1200

Answer

To simplify the expression \( \frac{1}{8} \) of \( \frac{6}{7} \) of 11200, we can follow these steps:

### Step 1: Write the expression in multiplication form
We start by rewriting the expression as a multiplication:
\[ \frac{1}{8} \times \frac{6}{7} \times 11200 \]

### Step 2: Calculate \( \frac{6}{7} \) of 11200
Next, we need to calculate \( \frac{6}{7} \) of 11200:
\[ \frac{6}{7} \times 11200 = \frac{6 \times 11200}{7} \]
Calculating \( 6 \times 11200 \):
\[ 6 \times 11200 = 67200 \]
Now divide by 7:
\[ \frac{67200}{7} = 9600 \]

### Step 3: Calculate \( \frac{1}{8} \) of 9600
Now we find \( \frac{1}{8} \) of 9600:
\[ \frac{1}{8} \times 9600 = \frac{9600}{8} \]
Calculating \( \frac{9600}{8} \):
\[ \frac{9600}{8} = 1200 \]

### Final Answer
Thus, the simplified value of \( \frac{1}{8} \) of \( \frac{6}{7} \) of 11200 is:
\[ \boxed{1200} \]

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