Video: Solving Word Problems by Dividing a Mixed Number by a Fraction

Scarlett bought 3 5/8 gallons of ice cream to serve at her birthday party. If a pint is 1/8 of a gallon, how many pint-sized servings could be made?

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Video Transcript

Scarlett bought three and five-eighths gallons of ice cream to serve at her birthday party. If a pint is one-eighth of a gallon, how many pint-sized servings could be made?

We know that Scarlet bought three and five-eighths gallons and that a pint is one-eighth of a gallon. We also read that Scarlett’s going to serve pint-sized servings of ice cream. This means we need to know how many pints Scarlett has. In this case, we need to divide the amount of ice cream she has by the serving size.

But before we do that, we’ll need to turn this mixed number into an improper fraction. To do that, we multiply the whole number by the denominator, three times eight. And then, add that to the numerator, plus five. Three times eight is 24, 24 plus five equals 29. So we have twenty-nine eighths, and we wanna divide that by one-eighth. But to divide by a fraction, we need to multiply it by the reciprocal. So we change division to multiplication, change one-eighth to eight over one. The eight in the numerator and the eight in the denominator cancel out leaving us with 29 over one.

Scarlett has purchased 29 pint-sized servings.

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