Question

Find the value of the expression

16 ÷ (d ÷ g ÷ c) ÷ 2 ÷ 2


for c = 3, d = 12, and g = 2.

Answer 1

To solve the expression \( 16 \div (d \div g \div c) \div 2 \div 2 \) with the values \( c = 3 \), \( d = 12 \), and \( g = 2 \), we will substitute the values into the expression step by step.

First, let's evaluate the inner division:

1. Calculate \( d \div g \):
\[
d \div g = 12 \div 2 = 6
\]

2. Now, divide that result by \( c \):
\[
6 \div c = 6 \div 3 = 2
\]

Now we can substitute back into the expression:

\[
16 \div (d \div g \div c) \div 2 \div 2 = 16 \div 2 \div 2
\]

Next, we perform the first division:

3. Calculate \( 16 \div 2 \):
\[
16 \div 2 = 8
\]

Now, we divide that result by \( 2 \):

4. Calculate \( 8 \div 2 \):
\[
8 \div 2 = 4
\]

Thus, the final value of the expression is

\[
\boxed{4}
\]