Question

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Answer 1

Ответ: 8

Объяснение:

$\displaystyle 9\frac{1}{4} *8-3\frac{2}{3} *4\frac{1}{2} -10\frac{4}{5} *4\frac{7}{12}$

1) $\displaystyle 1) 9\frac{1}{4} *8=\frac{9*4+1}{4} *\frac{8}{1} =\frac{37}{4} *\frac{8}{1} =\frac{296}{4} =74$

2) $\displaystyle 3\frac{2}{3} *4\frac{1}{2} =\frac{3*3+2}{3} *\frac{4*2+1}{2} =\frac{11}{3} *\frac{9}{2} =\frac{11*9}{3*2} =\frac{99}{6} =\frac{33}{2}$

3) $\displaystyle 10\frac{4}{5} *4\frac{7}{12} =\frac{10*5+4}{5} *\frac{12*4+7}{12} =\frac{54}{5} *\frac{55}{12} =\frac{54*55}{5*12} =\frac{2970}{60} =\frac{99}{2}$

4) $\displaystyle 74-\frac{32}{2} =\frac{74}{1} -\frac{33}{2} =\frac{74*2}{2} -\frac{33}{2} =\frac{148}{2} -\frac{33}{2} =\frac{115}{2}$

5) $\displaystyle \frac{115}{2} -\frac{99}{2} =\frac{16}{2} =8$