Ҳисоб кунед:
$$30. \frac{(1,75 : \frac{2}{3} - 1,75 \cdot 1\frac{1}{8}) : \frac{7}{12}}{(\frac{17}{80} - 0,0325): 400} : (6,79 : 0,7 + 0,3).$$
Ҳал:
\(30. \frac{(1,75 : \frac{2}{3} - 1,75 \cdot 1\frac{1}{8}) : \frac{7}{12}}{(\frac{17}{80} - 0,0325): 400} : (6,79 : 0,7 + 0,3) = 250.\)
\(
1) 1,75 : \frac{2}{3} = 1\frac{75}{100} \cdot \frac{3}{2} = 1\frac{3}{4} \cdot \frac{3}{2} = \frac{7}{4} \cdot \frac{3}{2} = \frac{7 \cdot 3}{4 \cdot 2} = \frac{21}{8} = 2\frac{5}{8};
\)
\(
2) 1,75 \cdot 1\frac{1}{8} = 1\frac{75}{100} \cdot \frac{9}{8} = 1\frac{3}{4} \cdot \frac{9}{8} = \frac{7}{4} \cdot \frac{9}{8} = \frac{7 \cdot 9}{4 \cdot 8} = \frac{63}{32} = 1\frac{31}{32};
\)
\(
3) 2\frac{5}{8} - 1\frac{31}{32} = 2\frac{20}{32} - 1\frac{31}{32} = 1 + 1 + \frac{20}{32} - 1\frac{31}{32} = 1 + \frac{32}{32} + \frac{20}{32} - 1\frac{31}{32} = 1 - 1 + \frac{32 + 20 - 31}{32} = \frac{21}{32};
\)
\(
4) \frac{21}{32} : \frac{7}{12} = \frac{21}{32} \cdot \frac{12}{7} = \frac{21 \cdot 12}{32 \cdot 7} = \frac{3 \cdot 3}{8 \cdot 1} = \frac{9}{8} = 1\frac{1}{8};
\)
\(
5) \frac{17}{80} - 0,0325 = \frac{17}{80} - \frac{325}{10000} = \frac{17}{80} - \frac{13}{400} = \frac{85}{400} - \frac{13}{400} = \frac{72}{400} = \frac{9}{50} = \frac{18}{100} = 0,18;
\)
\(
6) 0,18 : 400 = 0,00045;
\)
\(
7) 1\frac{1}{8} : 0,00045 = \frac{9}{8} : \frac{45}{100000} = \frac{9}{8} \cdot \frac{100000}{45} = \frac{9 \cdot 100000}{8 \cdot 45} = \frac{9 \cdot 12500}{1 \cdot 45} = \frac{112500}{45} = 112500 : 45 = 2500;
\)
\(
8) 6,79 : 0,7 = 9,7;
\)
\(
9) 9,7 + 0,3 = 10;
\)
\(
10) 2500 : 10 = 250.
\)
Ҷавоб: 250.
