Question

1. 30% as a fraction
2. 60% as a fraction
3. 90% as a fraction
4. 50% as a fraction
5. 25% as a fraction
6. 20% as a fraction

Explanation:

Question 17: 30% as a fraction

Step1: Recall percentage to fraction conversion

A percentage \( x\% \) can be written as \( \frac{x}{100} \). So for \( 30\% \), we start with \( \frac{30}{100} \).

Step2: Simplify the fraction

We find the greatest common divisor (GCD) of 30 and 100, which is 10. Divide both the numerator and the denominator by 10: \( \frac{30\div10}{100\div10}=\frac{3}{10} \).

Step1: Use percentage to fraction formula

For \( 60\% \), write it as \( \frac{60}{100} \) using the rule \( x\%=\frac{x}{100} \).

Step2: Simplify the fraction

The GCD of 60 and 100 is 20. Divide numerator and denominator by 20: \( \frac{60\div20}{100\div20}=\frac{3}{5} \).

Step1: Convert percentage to fraction

Using \( x\% = \frac{x}{100} \), \( 90\% \) becomes \( \frac{90}{100} \).

Step2: Simplify the fraction

The GCD of 90 and 100 is 10. Divide both by 10: \( \frac{90\div10}{100\div10}=\frac{9}{10} \).

Answer:

\( \frac{3}{10} \)

Question 18: 60% as a fraction