Simplify:- 1/8 of 2/3 of 3/5 of 1715 = ?

Options

A. a. 80
B. b. 85
C. c. 90
D. d. 95

Answer

To simplify the expression \( \frac{1}{8} \) of \( \frac{2}{3} \) of \( \frac{3}{5} \) of 1715, we can follow these steps:

### Step 1: Write the expression in multiplication form
We can express the problem as:
\[ \frac{1}{8} \times \frac{2}{3} \times \frac{3}{5} \times 1715 \]

### Step 2: Simplify the fractions
We can simplify the fractions step by step. First, we can multiply the fractions:
\[ \frac{1 \times 2 \times 3}{8 \times 3 \times 5} \times 1715 \]
Notice that the \(3\) in the numerator and denominator cancels out:
\[ \frac{1 \times 2}{8 \times 5} \times 1715 \]

### Step 3: Simplify \( \frac{2}{8} \)
Now, simplify \( \frac{2}{8} \):
\[ \frac{2}{8} = \frac{1}{4} \]
So we have:
\[ \frac{1}{4} \times \frac{1}{5} \times 1715 \]

### Step 4: Combine the fractions
Now, we can combine the fractions:
\[ \frac{1}{20} \times 1715 \]

### Step 5: Calculate \( \frac{1715}{20} \)
Now we perform the division:
\[ 1715 \div 20 = 85.75 \]

### Final Answer
Thus, the simplified value of \( \frac{1}{8} \) of \( \frac{2}{3} \) of \( \frac{3}{5} \) of 1715 is:
\[ \boxed{85.75} \]