What will come in place of the question mark (?) in the following questions ?
`(28)/(65) xx (195)/(308) div (39)/(44) + (5)/(26) = ?`

Options

A. `(1)/(3)`
B. 0.75
C. `1(1)/(2)`
D. `(1)/(2)`

Answer

To solve the expression \((28/65) \times (195/308) \div (39/44) + (5/26) = ?\), we will follow the order of operations step by step.

### Step 1: Multiply the first two fractions
First, we multiply \((28/65)\) and \((195/308)\).

\[ \frac{28}{65} \times \frac{195}{308} = \frac{28 \times 195}{65 \times 308} \]

### Step 2: Simplify the multiplication
Now, we can simplify before multiplying.

- The number \(28\) can be simplified with \(65\) (since \(65 = 5 \times 13\) and \(28 = 4 \times 7\)).
- The number \(195\) can be simplified with \(308\) (since \(195 = 3 \times 65\) and \(308 = 4 \times 77\)).

Calculating:

\[ \frac{28 \times 195}{65 \times 308} = \frac{28 \times 3}{5 \times 4} = \frac{84}{20} = \frac{21}{5} \]

### Step 3: Divide by the third fraction
Next, we divide by \((39/44)\):

\[ \frac{21/5}{39/44} = \frac{21}{5} \times \frac{44}{39} = \frac{21 \times 44}{5 \times 39} \]

### Step 4: Simplify the division
Now, simplify:

\[ \frac{21 \times 44}{5 \times 39} = \frac{924}{195} \]

### Step 5: Add the last fraction
Now we need to add \((5/26)\):

\[ \frac{924}{195} + \frac{5}{26} \]

### Step 6: Find a common denominator
The least common multiple (LCM) of \(195\) and \(26\) is \(1950\).

Now we convert both fractions:

\[ \frac{924}{195} = \frac{924 \times 10}{195 \times 10} = \frac{9240}{1950} \]

\[ \frac{5}{26} = \frac{5 \times 75}{26 \times 75} = \frac{375}{1950} \]

### Step 7: Add the fractions
Now we can add:

\[ \frac{9240}{1950} + \frac{375}{1950} = \frac{9240 + 375}{1950} = \frac{9615}{1950} \]

### Step 8: Simplify the final fraction
Now we simplify \(\frac{9615}{1950}\):

Both numbers can be divided by \(15\):

\[ \frac{9615 \div 15}{1950 \div 15} = \frac{641}{130} \]

### Final Answer
Thus, the value that comes in place of the question mark is:

\[ \frac{641}{130} \]