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The expression 12g12g gives the number of kilometers a car can travel using gg liters of gasoline. How far can this car travel on 5125 \frac{1}{2} liters of gasoline?

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Multiply and divide rational numbers: word problemsright chevron icon

Full solution

Q. The expression 12g12g gives the number of kilometers a car can travel using gg liters of gasoline. How far can this car travel on 5125 \frac{1}{2} liters of gasoline?
  1. Substitute gg with 5125 \frac{1}{2}: To find out how far the car can travel on 5125 \frac{1}{2} liters of gasoline, we need to substitute gg with 5125 \frac{1}{2} in the expression 12g12g.\newlineCalculation: 12×(512)12 \times \left(5 \frac{1}{2}\right)
  2. Convert to Improper Fraction: First, convert the mixed number 5125 \frac{1}{2} into an improper fraction. To do this, multiply the whole number 55 by the denominator 22 and add the numerator 11.\newlineCalculation: 5×2+1=10+1=115 \times 2 + 1 = 10 + 1 = 11\newlineSo, 5125 \frac{1}{2} is the same as 112\frac{11}{2}.
  3. Multiply by 1212: Now, multiply 1212 by the improper fraction 112\frac{11}{2} to find the distance the car can travel.\newlineCalculation: 12×(112)=121×112=12×111×2=132212 \times \left(\frac{11}{2}\right) = \frac{12}{1} \times \frac{11}{2} = \frac{12 \times 11}{1 \times 2} = \frac{132}{2}
  4. Divide to Find Answer: Finally, divide 132132 by 22 to get the final answer.\newlineCalculation: 132/2=66132 / 2 = 66

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