Question

12 - 4 / 4/3 + 1

Answer 1

To solve the expression \( 12 - 4 / 4 / 3 + 1 \), we will follow the order of operations (PEMDAS/BODMAS), which states we should handle parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Let's break it down step by step:

1. **Handle the division from left to right:**
\[
4 / 4 = 1
\]
Now the expression becomes:
\[
12 - 1 / 3 + 1
\]

2. **Continue with the division:**
\[
1 / 3 = \frac{1}{3}
\]
Now the expression updates to:
\[
12 - \frac{1}{3} + 1
\]

3. **Convert 12 and 1 to have a common denominator of 3:**
- \( 12 = \frac{36}{3} \)
- \( 1 = \frac{3}{3} \)

The expression now looks like this:
\[
\frac{36}{3} - \frac{1}{3} + \frac{3}{3}
\]

4. **Combine the fractions:**
\[
\frac{36 - 1 + 3}{3} = \frac{38}{3}
\]

So, the final answer is:
\[
\frac{38}{3}
\]
or approximately \( 12.67 \) if you prefer a decimal.