Madeline

Madeline is making a quilt. She found some pieces of fabric on sale, each measuring 9/10 of a yard. She will use 2 1/2 of the pieces for the quilt. What is the total length of the fabric she will use?

Correct answer:

x =  2 ¹⁄₄ = 9/4 yd

Step-by-step explanation:

$$\begin{gathered} a=9/10=\frac{9}{10}=0.9\text{yd} \\ n=2\frac{1}{2}=2+\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}=2.5 \\ x=n\cdot a=\frac{5}{2}\cdot \frac{9}{10}=\frac{5\cdot 9}{2\cdot 10}=\frac{45}{20}=\frac{9}{4}\text{yd}=2\frac{1}{4}\text{yd}=2.25\text{yd} \end{gathered}$$

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