Question

write an expression equivalent to \\(\frac{1}{3}(24p - 33)\\). \\(\frac{1}{3}(24p - 33) = \square p -?\\)

Explanation:

Step1: Apply distributive property

To simplify \(\frac{1}{3}(24p - 33)\), we use the distributive property \(a(b - c)=ab - ac\), where \(a=\frac{1}{3}\), \(b = 24p\), and \(c = 33\). So we have \(\frac{1}{3}\times24p-\frac{1}{3}\times33\).

Step2: Calculate each term

For the first term: \(\frac{1}{3}\times24p=\frac{24}{3}p = 8p\).
For the second term: \(\frac{1}{3}\times33=\frac{33}{3}=11\).

Answer:

\(8\) \(p - 11\)