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Divide. Simplify your answer. 2/x÷(x+5)/2x
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Answer:

the simplified form of the expression 2/x ÷ (x+5)/2x.

Explanation:

To divide the expression 2/x ÷ (x+5)/2x, we can simplify the process by using the reciprocal (or flip) of the second fraction and then multiplying.

Let's break it down step by step:

Step 1: Flip the second fraction:

(x+5)/2x becomes 2x/(x+5).

Step 2: Multiply the fractions:

Now we have 2/x multiplied by 2x/(x+5).

To multiply fractions, we multiply the numerators together and the denominators together:

Numerator: 2 * 2x = 4x

Denominator: x * (x+5) = x^2 + 5x

So, the expression becomes 4x / (x^2 + 5x).

This is the simplified form of the expression 2/x ÷ (x+5)/2x.

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