Question

The value of $ -48 \div [4 \times (6 - 5 + 1)] \div 24$:

• A. 12
• B. -7/4
• C. -1/4
• D. -9

Answer 1

Answer:

C. -1/4

Step 1: Solve the innermost round parentheses $(6 - 5 + 1)$

Work from left to right for subtraction and addition:

* $6 - 5 = 1$

* $1 + 1 = 2$

The expression becomes:

$-48 \div [4 \times 2] \div 24$

Step 2: Solve the square brackets $[4 \times 2]$

* $4 \times 2 = 8$

The expression becomes:

$-48 \div 8 \div 24$

Step 3: Solve the divisions from left to right

First division:

* $-48 \div 8 = -6$

Now, perform the final division:

* $-6 \div 24 = -\frac{6}{24}$

Step 4: Simplify the fraction

* $-\frac{6}{24} = -\frac{1}{4}$