Question

a baker needs 2\frac{2}{3} cups of flour for her recipe, but she only has a \frac{1}{3} cup scoop. how many scoops will she need for the recipe?\
\bigcirc 9 scoops\
\bigcirc 8 scoops\
\bigcirc 11 scoops\
\bigcirc 3 scoops

Explanation:

Step1: Convert mixed number to improper fraction

The baker needs \( 2\frac{2}{3} \) cups of flour. To convert the mixed number \( 2\frac{2}{3} \) to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{6 + 2}{3}=\frac{8}{3} \).

Step2: Divide by the scoop size

The scoop size is \( \frac{1}{3} \) cup. To find the number of scoops, we divide the total flour needed by the scoop size. That is \( \frac{8}{3}\div\frac{1}{3} \). When dividing by a fraction, we multiply by its reciprocal, so \( \frac{8}{3}\times\frac{3}{1} = 8 \).

Answer:

8 scoops