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Si la gasolina cuesta $1.25 el galón, ¿cuánto costarían 3(3)/(5) galones? Exprese el resultado en forma decimal.

22. Si la gasolina cuesta $1.25 \$ 1.25 el galón, ¿cuánto costarían 335 3 \frac{3}{5} galones? Exprese el resultado en forma decimal.

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Full solution

Q. 22. Si la gasolina cuesta $1.25 \$ 1.25 el galón, ¿cuánto costarían 335 3 \frac{3}{5} galones? Exprese el resultado en forma decimal.
  1. Convert to Improper Fraction: Convert the mixed number 3(35)3\left(\frac{3}{5}\right) to an improper fraction.\newline3(35)3\left(\frac{3}{5}\right) can be converted to an improper fraction by multiplying the whole number part by the denominator of the fractional part and then adding the numerator of the fractional part.\newlineCalculation: 3×5+3=15+3=183 \times 5 + 3 = 15 + 3 = 18\newlineSo, 3(35)3\left(\frac{3}{5}\right) is the same as 185\frac{18}{5}.
  2. Calculate Total Cost: Calculate the cost of 185\frac{18}{5} gallons of gasoline at $1.25\$1.25 per gallon.\newlineTo find the total cost, multiply the number of gallons by the cost per gallon.\newlineCalculation: (185)∗$1.25\left(\frac{18}{5}\right) * \$1.25
  3. Perform Multiplication: Perform the multiplication to find the total cost.\newlineCalculation: 185×1.25=18×0.25=4.5\frac{18}{5} \times 1.25 = 18 \times 0.25 = 4.5\newlineSo, the total cost is $4.50\$4.50.

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