Question

Question content area top
Part 1
Solve the equation by first clearing the fractions.
one fourth
p minus three eighths
p ​= 2
Question content area bottom
Part 1
A.32
32
B.16
16
C.negative 32
negative 32
D.negative 16
negative 16

Answer 1

To solve the equation \(\frac{1}{4}p - \frac{3}{8}p = 2\), we first want to eliminate the fractions.

1. To do this, we can find a common denominator for the fractions. The lowest common denominator of 4 and 8 is 8.

2. We can multiply the entire equation by 8 to clear the fractions:

\[
8 \left( \frac{1}{4}p \right) - 8 \left( \frac{3}{8}p \right) = 8 \cdot 2
\]

3. This simplifies to:

\[
2p - 3p = 16
\]

4. Combining like terms, we get:

\[
-1p = 16
\]

5. Divide both sides by -1:

\[
p = -16
\]

Thus, the solution is \( p = -16 \).

The answer is **D. negative 16**.