Karina

Karina has 5 4/7 meters of cloth. She needs 3 1/6 meters of it to make a curtain for her window. How many meters of cloth was left to her after making the curtain?

Correct answer:

x =  2 ¹⁷⁄₄₂ = 101/42 m

Step-by-step explanation:

$$\begin{gathered} a=5\frac{4}{7}=5+\frac{4}{7}=\frac{5\cdot 7+4}{7}=\frac{35+4}{7}=\frac{39}{7}\doteq 5.5714 \\ b=3\frac{1}{6}=3+\frac{1}{6}=\frac{3\cdot 6+1}{6}=\frac{18+1}{6}=\frac{19}{6}\doteq 3.1667 \\ x=a-b=\frac{39}{7}-\frac{19}{6}=\frac{234}{42}-\frac{133}{42}=\frac{234-133}{42}=\frac{101}{42}=\frac{101}{42}\text{m}=2\frac{17}{42}\text{m}=2.4048\text{m} \end{gathered}$$

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