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Question
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[tex]2 \dfrac{1}{4} + ( 4\dfrac{1}{3} x - 7 \dfrac{4}{5} ) \div 2 \dfrac{3}{5} [/tex]
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Start with the bracket
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Change to improper fraction
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[tex]2 \dfrac{1}{4} + ( \dfrac{13}{3} x - \dfrac{39}{5} ) \div 2 \dfrac{3}{5} [/tex]
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Make into single fraction
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[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div 2 \dfrac{3}{5} [/tex]
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Now do the divide
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Convert to improper fraction
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[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \div \dfrac{13}{5} [/tex]
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Change to multiplication fraction
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[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{15}} \times \dfrac{5}{13} [/tex]
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Multiply the fraction
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[tex]2 \dfrac{1}{4} + \dfrac{65x-117}{39}} [/tex]
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Now do the addition
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Change to improper fraction
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[tex] \dfrac{9}{4} + \dfrac{65x-117}{39}} [/tex]
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Put into single fraction
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[tex] \dfrac{351 + 260x -468}{156} [/tex]
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Combine like terms
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[tex] \dfrac{260x -117}{156} [/tex]
