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 \(b\times\frac{a}{c}\) or \(\frac{a}{c}\times b\), which can be written as \(b\cdot\frac{a}{c}\) (or \(b\times\frac{a}{c}\), \(\frac{a}{c}b\) etc., but the standard form is \(b\times\frac{a}{c}\) or \(b\cdot\frac{a}{c}\)).

Answer:

\(b\times\frac{a}{c}\) (or \(b\cdot\frac{a}{c}\), \(\frac{a}{c}\times b\), \(\frac{a}{c}b\) are also acceptable as long as the operation sequence is correct)