You pull into a gas station where the sign says the gas costs $3.679. To fill up your tank you need 20 1/2 gallons of gas. You plan to use your credit card to pay. Rounded to the nearest cent, what will the charge be on your credit card?

$75

Correct.

$75

To find the charge on your credit card, you need to multiply the cost of one gallon of gas by the number of gallons you need to fill up your tank.

First, convert the mixed number 20 1/2 gallons to an improper fraction. This can be done by multiplying the whole number (20) by the denominator of the fraction (2) and adding the numerator (1). This gives us 41/2 gallons.

Next, multiply the cost of one gallon ($3.679) by the number of gallons (41/2).

$3.679 * 41/2 = $3.679 * 41/2

To simplify this fraction, multiply the numerators (3.679 * 41) and the denominators (1 * 2):

$3.679 * 41/2 = $ (3.679 * 41)/(1* 2)

Now, multiply the decimals: 3.679 * 41 = 150.439

And the fraction: (1 * 2) = 2

$150.439/2 = $75.2195

Finally, round to the nearest cent:

The charge on your credit card, rounded to the nearest cent, will be $75.22.