The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to o... The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with the gas in his tank?
Understand the Problem
The question is asking us to determine which equation correctly represents the number of trips Feliz can make with his gas tank, given its current level and the amount of gas used per trip.
Answer
Feliz can make 10 trips with the gas in his tank, represented by the equation: $$ \frac{5}{6} \div \frac{1}{12} = 10 $$
Answer for screen readers
The equation that correctly represents the number of trips Feliz can make is:
$$ \frac{5}{6} \div \frac{1}{12} = 10 $$
Steps to Solve
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Identify the variables Feliz's gas tank is currently $\frac{5}{6}$ full, and he uses $\frac{1}{12}$ of a full tank for each trip.
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Set up the equation To find the number of trips, we need to divide the total gas available by the amount of gas used per trip:
$$ \text{Number of trips} = \frac{\frac{5}{6}}{\frac{1}{12}} $$
- Simplify the division of fractions When dividing fractions, you multiply by the reciprocal of the divisor. So we rewrite the equation as:
$$ \text{Number of trips} = \frac{5}{6} \times \frac{12}{1} $$
- Perform the multiplication Multiply the numerators and the denominators:
$$ \frac{5 \times 12}{6 \times 1} = \frac{60}{6} $$
- Calculate the final result Now, divide 60 by 6:
$$ \frac{60}{6} = 10 $$
The equation that correctly represents the number of trips Feliz can make is:
$$ \frac{5}{6} \div \frac{1}{12} = 10 $$
More Information
The answer shows that Feliz can make 10 trips with the gas currently in his tank. This is a practical application of dividing fractions, which is often used in real-life scenarios, such as budgeting fuel.
Tips
- Forgetting to multiply by the reciprocal: When dividing fractions, it's important to remember to multiply by the reciprocal of the second fraction.
- Improper simplification: Failing to correctly simplify the fractions before performing calculations can lead to incorrect results.
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