7/18% of a quantity is equal to what fraction of the​ quantity?

Question

Part 1
7/18​% of a quantity is equal to___ of the quantity.
​(Simplify your​ answer.)

Answer 1

To find out what fraction of a quantity \( x \) is represented by \( \frac{7}{18}% \) of \( x \), we first convert the percentage into a fraction.

1. Convert \( \frac{7}{18}% \) to a fraction: \[ \frac{7}{18}% = \frac{7}{18} \times \frac{1}{100} = \frac{7}{1800} \]

2. Interpret \( \frac{7}{18}% \) of \( x \): This means we are looking for \( \frac{7}{1800} \) of \( x \): \[ \frac{7}{1800} \times x \]

3. Express \( \frac{7}{1800} x \) as a fraction of \( x \): To find out what fraction of \( x \) is \( \frac{7}{1800} x \), we can express it as: \[ \frac{\frac{7}{1800} x}{x} = \frac{7}{1800} \]

So, \( \frac{7}{18}% \) of a quantity \( x \) is equal to \( \frac{7}{1800} \) of the quantity.

Final Answer: \[ \frac{7}{1800} \]