7/3 of 5/4 of 1/9 of 3024=?

Options

A. 920
B. 940
C. 960
D. 980

Answer

To solve the question \( \frac{7}{3} \) of \( \frac{5}{4} \) of \( \frac{1}{9} \) of 3024, we will follow these steps:

### Step 1: Understand the Problem
We need to calculate \( \frac{7}{3} \times \frac{5}{4} \times \frac{1}{9} \times 3024 \).

### Step 2: Multiply the Fractions
First, we will multiply the fractions together:
\[ \frac{7}{3} \times \frac{5}{4} \times \frac{1}{9} \]

### Step 3: Multiply the Numerators and Denominators
Calculating the numerator:
\[ 7 \times 5 \times 1 = 35 \]
Calculating the denominator:
\[ 3 \times 4 \times 9 = 108 \]
So, we have:
\[ \frac{35}{108} \]

### Step 4: Multiply by 3024
Now, we need to multiply \( \frac{35}{108} \) by 3024:
\[ \frac{35}{108} \times 3024 \]

### Step 5: Simplify the Multiplication
To simplify, we can divide 3024 by 108 first:
\[ 3024 \div 108 = 28 \]
Now, we multiply 28 by 35:
\[ 28 \times 35 \]

### Step 6: Calculate the Final Multiplication
Calculating \( 28 \times 35 \):
\[ 28 \times 35 = 980 \]

### Final Answer
Thus, the value of \( \frac{7}{3} \) of \( \frac{5}{4} \) of \( \frac{1}{9} \) of 3024 is:
\[ \boxed{980} \]