Question

Janice is preparing a recipe that calls for 3/4 cups of oil per serving. If janice needs to prepare 2 2/3 servings, how many cups of oil will she need?

Answer 1

Answer:

Janice will need 2 cups of oil.

Step-by-step explanation:

You know that Janice needs to prepare 2$\frac{2}{3}$ servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.

In this case:

$2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}$

Knowing that the recipe calls for $\frac{3}{4}$ cups of oil per serving and Janice needs to prepare $\frac{8}{3}$ servings, you can apply the following rule of three: if $\frac{3}{4}$ cups of oil are required for 1 serving, $\frac{8}{3}$ servings how many cups of oil require?

$cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}$

Solving:

cups of oil= 2

Janice will need 2 cups of oil.