Handmade scarves

Chelsea is sewing handmade scarves for her sisters and friends. She has 4 ⅚ yards of material and needs ⅞ of a yard for each scarf. How many scarves can she make with the existing material?

Correct answer:

n =  5

Step-by-step explanation:

$$\begin{gathered} a=4\frac{5}{6}=4+\frac{5}{6}=\frac{4\cdot 6+5}{6}=\frac{24+5}{6}=\frac{29}{6}=4\frac{5}{6}\doteq 4.8333\text{yd} \\ b=\frac{7}{8}=0.875\text{yd} \\ {n}_1=a/b=\frac{29}{6}/\frac{7}{8}=\frac{29}{6}:\frac{7}{8}=\frac{29}{6}\cdot \frac{8}{7}=\frac{29\cdot 8}{6\cdot 7}=\frac{232}{42}=\frac{116}{21}=5\frac{11}{21}\doteq 5.5238 \\ n=\lfloor n_1\rfloor =\lfloor 5.5238\rfloor =5 \end{gathered}$$

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