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Fraction of square tiles = ![(\frac{4}{25}) = 0.16](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B25%7D%29%20%20%20%3D%200.16)
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Fraction of rectangle tiles = ![(\frac{17}{50}) = 0.34](https://tex.z-dn.net/?f=%28%5Cfrac%7B17%7D%7B50%7D%29%20%20%20%3D%200.34)
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Step-by-step explanation:
Total number of tiles to be used in the kitchen = 100
The total number of square tiles = 34
The total number of rectangle tiles = 16
Now, calculating the total fraction of square tiles:
The fraction of square tiles = ![\frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}} = \frac{16}{100} = \frac{4}{25}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BTotal%20number%20of%20square%20tiles%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20tiles%7D%7D%20%20%3D%20%5Cfrac%7B16%7D%7B100%7D%20%20%20%3D%20%5Cfrac%7B4%7D%7B25%7D)
Also, solving the fraction, we get ![\frac{4}{25} = 0.16](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B25%7D%20%20%3D%200.16)
So, the decimal value of square tiles = 0.6
Calculating the total fraction of rectangle tiles:
The fraction of rectangle tiles = ![\frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}} = \frac{34}{100} = \frac{17}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BTotal%20number%20of%20rectangle%20tiles%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20tiles%7D%7D%20%20%3D%20%5Cfrac%7B34%7D%7B100%7D%20%20%20%3D%20%5Cfrac%7B17%7D%7B50%7D)
Also, solving the fraction, we get ![\frac{17}{50} = 0.34](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B50%7D%20%20%3D%200.34)
So, the decimal value of rectangle tiles = 0.34