The value of 31096 ÷(2704÷2)+ 0.6738+ 0.63+ 0.059−0.79 is equal to :

Correct Option: Option 3 (23.5728)

To evaluate the given mathematical expression, we follow the order of operations (BODMAS/PEMDAS rule), which prioritizes operations inside brackets first, followed by division, addition, and subtraction.

The given expression is:

$31096÷(2704÷2)+0.6738+0.63+0.059-0.79$

Step 1: Simplify the expression inside the brackets.

First, perform the division inside the parentheses:

$2704÷2=1352$

Now substitute this value back into the expression:

$31096÷1352+0.6738+0.63+0.059-0.79$

Step 2: Perform the division.

Divide 31096 by 1352:

$31096÷1352=23$

The expression now becomes:

$23+0.6738+0.63+0.059-0.79$

Step 3: Perform addition.

Add all the positive terms together step-by-step or all at once:

$23+0.6738=23.6738$

$23.6738+0.63=24.3038$

$24.3038+0.059=24.3628$

Step 4: Perform subtraction.

Finally, subtract 0.79 from the result:

$24.3628-0.79=23.5728$

Thus, the value of the expression is 23.5728.