Question

4/45:(12/25-4/15)+16/21×1 3/4

Answer 1

Ответ:

$\displaystyle\frac{4}{45} :(\frac{12}{25} -\frac{4}{15} )+\frac{16}{21} *1\frac{3}{4} =1\frac{3}{4}$

$1)\displaystyle\frac{12}{25} -\frac{4}{15} =\frac{36}{75} -\frac{20}{75} =\frac{16}{75}$

$2)\displaystyle\frac{4}{45} :\frac{16}{75} =\frac{4}{45} *\frac{75}{16} =\frac{75}{45*4}=\frac{75}{180} =\frac{5}{12}$

$3)\displaystyle\frac{16}{21} *1\frac{3}{4} =\frac{16}{21} *\frac{7}{4} =\frac{4}{3}$

$4)\displaystyle\frac{5}{12} +\frac{4}{3} =\frac{5}{12} +\frac{16}{12} =\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}$