Hannah and Emily

Hannah and Emily need to use  4 1/4  feet of ribbon to finish an art project. Hannah has 2 3/4 feet of ribbon, and Emily has 1 3/4 feet of ribbon. How much ribbon will they have left over after they finish their art project?

Correct answer:

r =  -1/4 ft

Step-by-step explanation:

$$\begin{gathered} n=4\frac{1}{4}=4+\frac{1}{4}=\frac{4\cdot 4+1}{4}=\frac{16+1}{4}=\frac{17}{4}=4.25\text{ft} \\ h=2\frac{3}{4}=2+\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2.75\text{ft} \\ e=1\frac{3}{4}=1+\frac{3}{4}=\frac{1\cdot 4+3}{4}=\frac{4+3}{4}=\frac{7}{4}=1.75\text{ft} \\ r=n-h-e=\frac{17}{4}-\frac{11}{4}-\frac{7}{4}=\frac{17-11-7}{4}=\frac{-1}{4}=-\frac{1}{4}\text{ft}=-0.25\text{ft} \end{gathered}$$

Try another example