On the floor 2

The floor area of a living room is 9 7/9 m². A carpet with an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet.

Correct answer:

x =  4.1528 m²

Step-by-step explanation:

$$\begin{gathered} a=9{\displaystyle \frac{7}{9}}=9+{\displaystyle \frac{7}{9}}={\displaystyle \frac{9\cdot 9+7}{9}}={\displaystyle \frac{88}{9}}\doteq 9.7778{\text{m}}^2 \\ c=5{\displaystyle \frac{5}{8}}=5+{\displaystyle \frac{5}{8}}={\displaystyle \frac{5\cdot 8+5}{8}}={\displaystyle \frac{45}{8}}=5.625{\text{m}}^2 \\ x=a-c=9.7778-5.625={\displaystyle \frac{299}{72}}{\text{m}}^2=4\frac{11}{72}{\text{m}}^2=4.1528{\text{m}}^2 \end{gathered}$$

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