Judy baking

Judy is baking a cake and has 1 3/4 cups of flour. The recipe for the cake called for 1 1/3 times this amount. How many cups of flour does Judy need?

Final Answer:

n =  2 ¹⁄₃ = 7/3

Step-by-step explanation:

$$\begin{gathered} r=1\frac{3}{4}=\frac{7}{4}=1\frac{3}{4}=1.75\text{c} \\ q=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}=1\frac{1}{3}\doteq 1.3333 \\ n=r\cdot q=\frac{7}{4}\cdot \frac{4}{3}=\frac{7\cdot 4}{4\cdot 3}=\frac{28}{12}=\frac{7}{3}=2\frac{1}{3}=2.3333 \end{gathered}$$

Try another example