$775-450\times \frac{3}{5}+150÷\frac{3}{7}=?$

What will come in place of the question mark (?) in the following questions?

The correct option is 855.

To solve the given expression, we follow the order of operations (BODMAS / PEMDAS rule), which dictates that operations should be performed in the following order: Brackets, Orders (powers/roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

The given mathematical expression is:

$775-450\times \frac{3}{5}+150÷\frac{3}{7}=?$

Step 1: Simplify the division term

Dividing by a fraction is equivalent to multiplying by its reciprocal:

$150÷\frac{3}{7}=150\times \frac{7}{3}$

Dividing 150 by 3 gives 50, so:

$50\times 7=350$

Step 2: Simplify the multiplication term

Next, evaluate the multiplication part of the expression:

$450\times \frac{3}{5}$

Dividing 450 by 5 gives 90, so:

$90\times 3=270$

Step 3: Substitute the simplified values back into the expression

Now, replace the multiplication and division parts with their computed values:

$775-270+350=?$

Step 4: Perform addition and subtraction from left to right

First, perform the subtraction:

$775-270=505$

Now, add 350 to 505:

$505+350=855$

Thus, the value that comes in place of the question mark (?) is 855.