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Question
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![2 \dfrac{1}{4} + ( 4\dfrac{1}{3} x - 7 \dfrac{4}{5} ) \div 2 \dfrac{3}{5}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%28%204%5Cdfrac%7B1%7D%7B3%7D%20x%20-%207%20%5Cdfrac%7B4%7D%7B5%7D%20%29%20%5Cdiv%202%20%5Cdfrac%7B3%7D%7B5%7D%20)
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Start with the bracket
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Change to improper fraction
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![2 \dfrac{1}{4} + ( \dfrac{13}{3} x - \dfrac{39}{5} ) \div 2 \dfrac{3}{5}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%28%20%5Cdfrac%7B13%7D%7B3%7D%20x%20-%20%20%5Cdfrac%7B39%7D%7B5%7D%20%29%20%5Cdiv%202%20%5Cdfrac%7B3%7D%7B5%7D%20)
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Make into single fraction
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![2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div 2 \dfrac{3}{5}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%5Cdfrac%7B65x-117%7D%7B15%7D%7D%20%5Cdiv%202%20%5Cdfrac%7B3%7D%7B5%7D%20)
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Now do the divide
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Convert to improper fraction
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![2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div \dfrac{13}{5}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%5Cdfrac%7B65x-117%7D%7B15%7D%7D%20%5Cdiv%20%20%5Cdfrac%7B13%7D%7B5%7D%20)
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Change to multiplication fraction
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![2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \times \dfrac{5}{13}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%5Cdfrac%7B65x-117%7D%7B15%7D%7D%20%5Ctimes%20%20%5Cdfrac%7B5%7D%7B13%7D%20)
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Multiply the fraction
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![2 \dfrac{1}{4} + \dfrac{65x-117}{39}}](https://tex.z-dn.net/?f=2%20%5Cdfrac%7B1%7D%7B4%7D%20%2B%20%20%5Cdfrac%7B65x-117%7D%7B39%7D%7D%20)
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Now do the addition
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Change to improper fraction
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![\dfrac{9}{4} + \dfrac{65x-117}{39}}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B9%7D%7B4%7D%20%2B%20%20%5Cdfrac%7B65x-117%7D%7B39%7D%7D%20)
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Put into single fraction
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![\dfrac{351 + 260x -468}{156}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B351%20%2B%20260x%20-468%7D%7B156%7D%20)
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Combine like terms
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