Question

bob uses $1\frac{1}{3}$ cups of icing to decorate $\frac{1}{3}$ of a cake. at this rate, how many cups of icing will it take to decorate 4 cakes? simplify your answer and write it as a whole number, proper fraction, or mixed number. \boxed{} cups of icing

Explanation:

Step1: Find icing per full cake

First, convert \( 1\frac{1}{3} \) to an improper fraction: \( 1\frac{1}{3}=\frac{4}{3} \).
If \( \frac{4}{3} \) cups decorate \( \frac{1}{3} \) cake, then for 1 cake, we multiply by 3 (since \( \frac{1}{3}\times3 = 1 \)):
\( \frac{4}{3}\div\frac{1}{3}=\frac{4}{3}\times\frac{3}{1}=4 \) cups per cake.

Step2: Calculate icing for 4 cakes

Multiply cups per cake by 4:
\( 4\times4 = 16 \).

Answer:

16