tell whether this pair of expresisons is equivalent.

Question

6/13x ÷1x and 6/13

Answer 1

Let's analyze the given expressions to determine if they are equivalent.

1. The first expression is \(\frac{6}{13x} \div 1x\).
2. The second expression is \(\frac{6}{13}\).

First, let's simplify the first expression:

\(\frac{6}{13x} \div 1x\)

Dividing by \(1x\) is the same as multiplying by its reciprocal (which is \(\frac{1}{x}\)):

\[
\frac{6}{13x} \times \frac{1}{x} = \frac{6}{13x} \times \frac{1}{x} = \frac{6 \cdot 1}{13x \cdot x} = \frac{6}{13x^2}
\]

So, the first expression simplifies to \(\frac{6}{13x^2}\).

Now compare this result with the second expression, \(\frac{6}{13}\).

Clearly, \(\frac{6}{13}\) is not the same as \(\frac{6}{13x^2}\).

Therefore, the two expressions \(\frac{6}{13x} \div 1x\) and \(\frac{6}{13}\) are **not** equivalent.