Subjects algebra

Time Remaining 782B33

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1. The problem asks to find the time it will take Sara to drive the remaining distance, given two fractions: $\frac{4}{5}$ and $\frac{4}{3}$. 2. We interpret these fractions as parts of the journey or rates, and we want to find the time in hours as a fraction. 3. To find the time, we divide the first fraction by the second fraction: $$\text{time} = \frac{\frac{4}{5}}{\frac{4}{3}}$$ 4. Dividing by a fraction is the same as multiplying by its reciprocal: $$\text{time} = \frac{4}{5} \times \frac{3}{4}$$ 5. Multiply numerators and denominators: $$\text{time} = \frac{4 \times 3}{5 \times 4} = \frac{12}{20}$$ 6. Simplify the fraction by dividing numerator and denominator by 4: $$\text{time} = \frac{12 \div 4}{20 \div 4} = \frac{3}{5}$$ 7. Therefore, it will take Sara $\frac{3}{5}$ hours to drive the remaining distance.