Question

the division expressions are equivalent because they each have the same quotient. how are the dividends and divisors in these expressions related? multiply both 12 and 6 by \boxed{} to make 120 and 60. multiply both 12 and 6 by \boxed{?} to make 1,200 and 600.

Explanation:

Step1: Find factor for first blank

We know that \(12\times x = 120\) and \(6\times x=60\). Solving for \(x\) in \(12x = 120\), we divide both sides by 12: \(x=\frac{120}{12}=10\).

Step2: Find factor for second blank

We know that \(12\times y = 1200\) and \(6\times y = 600\). Solving for \(y\) in \(12y=1200\), we divide both sides by 12: \(y = \frac{1200}{12}=100\).

Answer:

First blank: 10
Second blank: 100