[tex] \frac{4}9 + \frac{11}{18} + \frac{5}{27} - 4 \frac{2}{3} = [/tex]
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Penjelasan dengan langkah-langkah:
[tex] \frac{4}{9} + \frac{11}{18} + \frac{5}{27} - 4 \frac{2}{3} \\ = \frac{72}{9} + \frac{99}{18} + \frac{5}{27} - 4 \frac{2}{3} \\ = \frac{171}{162} + \frac{5}{27} - \frac{14}{3} \\ = \frac{171 + 5 - 14}{192} \\ = \frac{162}{192} \\ = \frac{54}{64} \\ = \frac{27}{32} [/tex]
[tex]\frac{4}{9} + \frac{11}{18} + \frac{5}{27} - 4 \frac{2}{3} = \frac{4}{9} + \frac{11}{18} + \frac{5}{27} - \frac{14}{3} [/tex]
[tex]= \frac{(4 \times 6)}{(9 \times 6)} + \frac{(11 \times 3)}{(18 \times 3)} + \frac{(5 \times 2)}{(27 \times 2)} - \frac{(14 \times 18)}{(3 \times 18)} [/tex]
[tex]= \frac{24}{54} + \frac{33}{54} + \frac{10}{54} - \frac{252}{54} [/tex]
[tex]= \frac{24 + 33 + 10 - 252}{54} = - \frac{185}{54} = - 3 \frac{23}{54} [/tex]
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