Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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If a recipe calls for 4 1/3 cups of flour, how much flour would you need if you wanted to make 1 ½ times the amount of the recipe?

5 1/3 cups
6 cups
7 cups
6 ½ cups

The correct answer is: 5 1/3 cups

To find out how much flour you would need if you wanted to make 1 ½ times the amount of a recipe calling for 4 1/3 cups of flour, you begin by converting the mixed number into an improper fraction for easier calculations. The mixed number 4 1/3 can be converted as follows: 4 1/3 = (4 × 3 + 1) / 3 = 13/3 cups. Next, you multiply this amount by 1 ½. First, convert 1 ½ into an improper fraction: 1 ½ = (1 × 2 + 1) / 2 = 3/2. Now, multiply the amount of flour needed for the original recipe by 1 ½: (13/3) × (3/2) = (13 × 3) / (3 × 2) = 39/6. To simplify, divide both the numerator and the denominator by 3, giving: 39 ÷ 3 / 6 ÷ 3 = 13/2. Converting 13/2 back into a mixed number results in: 13 divided by 2 equals 6 with a remainder of 1, which