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\[\left( 2 + \frac{2}{5} \right)\left( 1 + \frac{13}{15} \right) = 2\left( 1 + \frac{13}{15} \right) + \frac{2}{5}\left( 1 + \frac{13}{15} \right) = 2 + \frac{26}{15} + \frac{2}{5} + \frac{26}{75}\] \[2 +\frac{26}{15} + \frac{2}{5} + \frac{26}{75}\] \[= 2 + \frac{130}{75} + \frac{30}{75}+ \frac{26}{75}\]\[=2 + \frac{186}{75}\]\[ = 4 + \frac{36}{75}\]\[ = 4 + \frac{12}{25}\]\[ = 4\frac{12}{25}\]
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