1. **State the problem:** Jada works a 5-hour shift (300 minutes) and takes a 15-minute break. We want to find what fraction and percentage of her work shift the break represents.
2. **Find the fraction of the break over the total shift:**
$$\frac{15}{300}$$
3. **Simplify the fraction:**
$$\frac{15}{300} = \frac{\cancel{15}^1}{\cancel{300}^{20}} = \frac{1}{20}$$
This means the break is \(\frac{1}{20}\) of the total shift.
4. **Find an equivalent fraction with denominator 100:**
We want to find \(x\) such that:
$$\frac{15}{300} = \frac{x}{100}$$
Cross-multiply:
$$15 \times 100 = 300 \times x$$
$$1500 = 300x$$
Divide both sides by 300:
$$\frac{1500}{\cancel{300}} = \frac{300x}{\cancel{300}} \Rightarrow 5 = x$$
So the equivalent fraction is:
$$\frac{5}{100}$$
5. **Interpretation:** The break is \(\frac{1}{20}\) or \(\frac{5}{100}\) of the shift, which is 5%.
Break Fraction 1A399E
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