Question

Which expression is equivalent to: 1/3p - 3(2p).

a. -17/3p
b. 19/3p
c. 5/3p
d. -11/3p

Answer 1

The expression equivalent to 1/3p - 3(2p) is -17/3p.

Step-by-step explanation:

To simplify the given expression, 1/3p - 3(2p), we need to apply the distributive property. This means multiplying 3 to both terms inside the parentheses:

1/3p - 6p

Next, we need to find a common denominator for the two terms. The common denominator is 3p, so we need to multiply the first term by p/p:

1/3p * p/p - 6p

This gives us:

p/3p - 6p

Now, we can combine like terms by subtracting 6p from p/3p:

(p - 18p)/3p

Next, we can simplify the expression by combining the coefficients of p:

-17p/3p

Finally, we can simplify further by canceling out the common factor of p:

-17/3