0. Higher Order Thinking Cindy is using division to write a fraction equivalent to \( \frac{30}{100 .} \) She tried to divide the numerator and denominator by 3 . She got stuck. What advice would you give her?

To help Cindy find a fraction equivalent to \( \frac{30}{100} \), we can guide her through the process of simplifying the fraction. 1. **Identify the Greatest Common Divisor (GCD)**: The first step in simplifying a fraction is to find the GCD of the numerator and the denominator. In this case, the numerator is 30 and the denominator is 100. 2. **Calculate the GCD**: The GCD of 30 and 100 can be found by listing the factors: - Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 - Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 - The common factors are 1, 2, 5, and 10. The greatest of these is 10. 3. **Divide by the GCD**: Now, we can simplify the fraction by dividing both the numerator and the denominator by their GCD (10): \[ \frac{30 \div 10}{100 \div 10} = \frac{3}{10} \] 4. **Conclusion**: The equivalent fraction to \( \frac{30}{100} \) is \( \frac{3}{10} \). So, the advice I would give Cindy is to find the GCD of the numerator and denominator, which is 10 in this case, and then divide both by that number to simplify the fraction correctly.