Question

write an expression for the sequence of operations described below. multiply b by the quotient of a and c do not simplify any part of the expression.

Explanation:

Step1: Find the quotient of a and c

The quotient of \( a \) and \( c \) is \( \frac{a}{c} \).

Step2: Multiply b by this quotient

Multiply \( b \) by \( \frac{a}{c} \), so the expression is \( b \times \frac{a}{c} \) (which can also be written as \( b \cdot \frac{a}{c} \) or \( \frac{ab}{c} \), but we just need to represent the sequence of operations without simplifying, so \( b \times \frac{a}{c} \) is appropriate).

Answer:

\( b \times \frac{a}{c} \) (or \( b \cdot \frac{a}{c} \), or \( \frac{ab}{c} \) as the multiplication of \( b \) and \( \frac{a}{c} \) can be written in these forms, but the key is to show the sequence of multiplying \( b \) by the quotient of \( a \) and \( c \))