Question

wendy wilson planned to bake a triple recipe of chocolate chip cookies for her office party. if the recipe calls for $4\frac{3}{4}$ cups of flour, how many cups will she need? (enter your answer as a simplified mixed number.)

Explanation:

Step1: Convert mixed number to improper fraction

The recipe calls for \(4\frac{3}{4}\) cups of flour. To convert the mixed number \(4\frac{3}{4}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(4\frac{3}{4}=\frac{4\times4 + 3}{4}=\frac{16+3}{4}=\frac{19}{4}\).

Step2: Multiply by 3 (for triple recipe)

We need to find the amount for a triple recipe, so we multiply \(\frac{19}{4}\) by 3. \(\frac{19}{4}\times3=\frac{57}{4}\).

Step3: Convert back to mixed number

Now, we convert \(\frac{57}{4}\) back to a mixed number. We divide 57 by 4: \(57\div4 = 14\) with a remainder of 1 (since \(14\times4 = 56\) and \(57-56 = 1\)). So, \(\frac{57}{4}=14\frac{1}{4}\).

Answer:

\(14\frac{1}{4}\)