To fully simplify the expression [tex]\( 12b \div 3 \)[/tex], we will follow a step-by-step approach.
### Step 1: Understand the Expression
The given expression is
[tex]\[
12b \div 3
\][/tex]
Here, [tex]\( 12b \)[/tex] implies that 12 is multiplied by the variable [tex]\( b \)[/tex], and then this product is divided by 3.
### Step 2: Apply Division to the Coefficient
Since [tex]\( b \)[/tex] is a variable, our primary focus will be on the numerical part of the expression (i.e., the coefficient). We need to divide the coefficient 12 by 3.
[tex]\[
\frac{12b}{3}
\][/tex]
### Step 3: Perform the Division
Divide 12 by 3:
[tex]\[
\frac{12}{3} = 4
\][/tex]
This leaves us with:
[tex]\[
4b
\][/tex]
### Step 4: Write the Final Simplified Expression
After performing the division, the simplified form of the expression [tex]\( 12b \div 3 \)[/tex] is:
[tex]\[
4b
\][/tex]
### Conclusion
The fully simplified expression is:
[tex]\[
4b
\][/tex]
