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A park has a playground that is 34\frac{3}{4} of its width and 45\frac{4}{5} of its Iength. What fraction of the park is covered by the playground? Fold a piece of paper horizontally into fourths and shade three of the fourths to represent 34.\frac{3}{4}. Fold the paper vertically into fifths and shade 45\frac{4}{5} of the paper another color. Count the total number of squares. This number is the denominator. The numerator is the number of squares shaded with both colors. 34×45=\frac{3}{4} \times \frac{4}{5}= ________ = _______. So, _______ of the park is covered by the playground.

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Given width of the playground : 34th of width of Park\text{Given width of the playground : }\frac{3}{4}th\text{ of width of Park}

Given length of the playground : 45th of length of Park\text{Given length of the playground : }\frac{4}{5}th\text{ of length of Park}

Fraction of park covered by playground : Length of playground×Width of park\textbf{Fraction of park covered by playground : }\text{Length of playground}\times{\text{Width of park}}

Fraction of park covered by playground : 45×34=35\textbf{Fraction of park covered by playground : }\frac{4}{5}\times{\frac{3}{4}}=\frac{3}{5}

Hence, Playground covers the 35th of the total Park\textbf{Hence, Playground covers the }\frac{3}{5}th\textbf{ of the total Park}

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