Subjects algebra

Time Fraction

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Time Fraction


**Problem:** Write Leo's time as a fraction of Eve's time and simplify the fraction. 1. Convert both times to seconds for consistency. - Leo's time: 1 minute 15 seconds = $1 \times 60 + 15 = 75$ seconds. - Eve's time: 2 minutes 5 seconds = $2 \times 60 + 5 = 125$ seconds. 2. Write Leo's time as a fraction of Eve's time: $$ \frac{\text{Leo's time}}{\text{Eve's time}} = \frac{75}{125} $$ 3. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). - The GCD of 75 and 125 is 25. - Divide numerator and denominator by 25: $$ \frac{75 \div 25}{125 \div 25} = \frac{3}{5} $$ **Final answer:** Leo's time as a fraction of Eve's time in simplest form is $\frac{3}{5}$.