Subjects algebra

Break Fraction Cd6B8C

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1. **State the problem:** Jada works a 5-hour shift, which is 300 minutes, and takes a 15-minute break. We want to find what fraction of her total work shift the break represents. 2. **Write the fraction:** The fraction of the shift that is break time is given by the ratio of break time to total shift time: $$\frac{15}{300}$$ 3. **Simplify the fraction:** To simplify, find the greatest common divisor (GCD) of 15 and 300, which is 15. 4. **Divide numerator and denominator by 15:** $$\frac{\cancel{15}^{1}}{\cancel{300}^{20}} = \frac{1}{20}$$ 5. **Interpretation:** The break is \(\frac{1}{20}\) of the total work shift. 6. **Convert to percentage (optional):** To find the percentage, multiply the fraction by 100: $$\frac{1}{20} \times 100 = 5\%$$ So, the break is 5% of Jada's work shift.