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question 60
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convert \\( \frac{1}{2} \\% \\) to a fraction \\( \frac{x}{y} \\)
remember to reduce the fraction to lowest terms
solve for x =
solve for y =
question 61
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reduce the following to its lowest terms
\\( \frac{12}{15} = \frac{x}{y} \\)
solve for x in the above question;
solve for y in the above question:

Explanation:

Question 60

Step1: Recall percentage to fraction conversion

A percentage is a fraction with denominator 100. So, \(\frac{1}{2}\%\) can be written as \(\frac{\frac{1}{2}}{100}\).

Step2: Simplify the complex fraction

To simplify \(\frac{\frac{1}{2}}{100}\), we multiply the numerator by the reciprocal of the denominator: \(\frac{1}{2}\times\frac{1}{100}=\frac{1}{200}\).

Step1: Find the greatest common divisor (GCD) of 12 and 15

The factors of 12 are \(1, 2, 3, 4, 6, 12\) and the factors of 15 are \(1, 3, 5, 15\). The GCD of 12 and 15 is 3.

Step2: Divide numerator and denominator by GCD

Divide 12 by 3: \(12\div3 = 4\)
Divide 15 by 3: \(15\div3 = 5\)
So, \(\frac{12}{15}=\frac{4}{5}\)

Answer:

For \(x\): \(1\)
For \(y\): \(200\)

Question 61