Curtain

Mrs. Lazo bought 9 1/8 m curtain cloth. She used 3 5/6 m to make a curtain for their bedroom. How many meters of cloth were not used?

Correct answer:

x =  5.2917 m

Step-by-step explanation:

$$\begin{gathered} a=9{\displaystyle \frac{1}{8}}=9+{\displaystyle \frac{1}{8}}={\displaystyle \frac{9\cdot 8+1}{8}}={\displaystyle \frac{73}{8}}=9.125\text{ m } \\ b=3{\displaystyle \frac{5}{6}}=3+{\displaystyle \frac{5}{6}}={\displaystyle \frac{3\cdot 6+5}{6}}={\displaystyle \frac{23}{6}}\doteq 3.8333\text{ m } \\ x=a-b=9.125-3.8333={\displaystyle \frac{127}{24}}\text{ m}=5\frac{7}{24}\text{ m}=5.2917\text{ m} \end{gathered}$$

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