Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

A recipe calls for 4 1/3 cups of flour. How much flour is needed to make 1 1/2 times the recipe?

1. 6 cups

2. 5 1/2 cups

3. 6 1/2 cups

4. 7 cups

The correct answer is: 6 1/2 cups

To determine how much flour is needed to make 1 1/2 times the recipe, you first need to convert the mixed number in the recipe into an improper fraction. The recipe calls for 4 1/3 cups of flour, which can be converted as follows: 1. Multiply the whole number (4) by the denominator (3): \(4 \times 3 = 12\). 2. Add the numerator (1) to that result: \(12 + 1 = 13\). 3. The result is \(13/3\) cups of flour. Now, to find out how much flour is needed for 1 1/2 times the recipe, you multiply \(13/3\) by \(1 1/2\) (which is equivalent to \(3/2\)). This can be calculated as follows: \[ \left(\frac{13}{3}\right) \times \left(\frac{3}{2}\right) = \frac{13 \times 3}{3 \times 2} = \frac{39}{6} \] Now simplify \(\frac{39}{6}\): 1. Divide the numerator and the denominator by 3 to