Find the value of question mark (?) in the following questions.
`? xx 40 div 24 xx 27 = (594)/(115) xx (2300)/(264)`

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the value of the question mark (?) in the equation:

\[ ? \times 40 \div 24 \times 27 = \frac{594}{115} \times \frac{2300}{264} \]

we will solve it step by step.

### Step 1: Simplify the Right Side of the Equation

First, we simplify the right side of the equation:

\[ \frac{594}{115} \times \frac{2300}{264} \]

**Hint:** Start by simplifying each fraction where possible.

#### Simplifying \(\frac{594}{115}\):

- The greatest common divisor (GCD) of 594 and 115 is 1 (since they have no common factors).
- Therefore, \(\frac{594}{115}\) remains as is.

#### Simplifying \(\frac{2300}{264}\):

- The GCD of 2300 and 264 is 4.
- Dividing both by 4 gives:
\[ \frac{2300 \div 4}{264 \div 4} = \frac{575}{66} \]

Now, we can rewrite the right side:

\[ \frac{594}{115} \times \frac{575}{66} \]

### Step 2: Multiply the Simplified Fractions

Now we multiply the two fractions:

\[ \frac{594 \times 575}{115 \times 66} \]

**Hint:** Multiply the numerators and the denominators separately.

### Step 3: Calculate the Left Side of the Equation

Now, we will simplify the left side of the equation:

\[ ? \times 40 \div 24 \times 27 \]

**Hint:** Follow the order of operations (division and multiplication from left to right).

### Step 4: Simplify the Left Side

1. First, perform the division:
\[ 40 \div 24 = \frac{40}{24} = \frac{5}{3} \]

2. Now, multiply by 27:
\[ \frac{5}{3} \times 27 = \frac{5 \times 27}{3} = \frac{135}{3} = 45 \]

So, the left side becomes:

\[ ? \times 45 \]

### Step 5: Set the Two Sides Equal

Now we have:

\[ ? \times 45 = \frac{594 \times 575}{115 \times 66} \]

**Hint:** To isolate ?, divide both sides by 45.

### Step 6: Solve for ?

To find the value of ?, we need to compute the right side and then divide by 45.

1. Calculate \(594 \times 575\) and \(115 \times 66\).
2. Then divide the result by 45.

After performing the calculations, we find that:

\[ ? = 1 \]

### Final Answer

The value of the question mark (?) is:

\[ \boxed{1} \]