Question

PEMDAS
​ List the steps below to simplify and solve:

15 ÷32​ − 6​

Answer 1

To simplify and solve the expression \( 15 ÷ 32 - 6 \), we can follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Here are the steps for simplifying and solving the given expression:

1. **Division**: Perform the division first.
\[
15 ÷ 32 = \frac{15}{32}
\]

2. **Subtraction**: Now, subtract 6 from the result of the division.
\[
\frac{15}{32} - 6
\]

3. **Convert 6 to a fraction**: To subtract, it's helpful to express 6 as a fraction with a common denominator.
\[
6 = \frac{192}{32}
\]

4. **Combine the fractions**:
\[
\frac{15}{32} - \frac{192}{32} = \frac{15 - 192}{32} = \frac{-177}{32}
\]

5. **Final result**:
The result of the simplification is:
\[
\frac{-177}{32}
\]

So, the answer to the expression \( 15 ÷ 32 - 6 \) is \( \frac{-177}{32} \).