Atrisiniet {left(5/10+3/9right)}^2div{left(15/9right)}^2+lceil(7/10divfrac{84}{90}+frac{24}{9}divfrac{4}{9})*frac{2}{27}+frac{5}{12}rceil=

$${ \left( \frac{ 5 }{ 10 } + \frac{ 3 }{ 9 } \right) }^{ 2 } \div { \left( \frac{ 15 }{ 9 } \right) }^{ 2 } + \lceil ( \frac{ 7 }{ 10 } \div \frac{ 84 }{ 90 } + \frac{ 24 }{ 9 } \div \frac{ 4 }{ 9 } ) \times \frac{ 2 }{ 27 } + \frac{ 5 }{ 12 } \rceil =$$

Izrēķināt

$$\frac{5}{4}=1,25$$

Atrisinājuma darbības

Vienādot daļskaitli \frac{5}{10} līdz mazākajam loceklim, izvelkot un saīsinot 5.

$$\frac{\left(\frac{1}{2}+\frac{3}{9}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Vienādot daļskaitli \frac{3}{9} līdz mazākajam loceklim, izvelkot un saīsinot 3.

$$\frac{\left(\frac{1}{2}+\frac{1}{3}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Saskaitiet \frac{1}{2} un \frac{1}{3}, lai iegūtu \frac{5}{6}.

$$\frac{\left(\frac{5}{6}\right)^{2}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Aprēķiniet \frac{5}{6} pakāpē 2 un iegūstiet \frac{25}{36}.

$$\frac{\frac{25}{36}}{\left(\frac{15}{9}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Vienādot daļskaitli \frac{15}{9} līdz mazākajam loceklim, izvelkot un saīsinot 3.

$$\frac{\frac{25}{36}}{\left(\frac{5}{3}\right)^{2}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Aprēķiniet \frac{5}{3} pakāpē 2 un iegūstiet \frac{25}{9}.

$$\frac{\frac{25}{36}}{\frac{25}{9}}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Daliet \frac{25}{36} ar \frac{25}{9}, reizinot \frac{25}{36} ar apgriezto daļskaitli \frac{25}{9} .

$$\frac{25}{36}\times \frac{9}{25}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Reiziniet \frac{25}{36} un \frac{9}{25}, lai iegūtu \frac{1}{4}.

$$\frac{1}{4}+\lceil \left(\frac{\frac{7}{10}}{\frac{84}{90}}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Daliet \frac{7}{10} ar \frac{84}{90}, reizinot \frac{7}{10} ar apgriezto daļskaitli \frac{84}{90} .

$$\frac{1}{4}+\lceil \left(\frac{7\times 90}{10\times 84}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Saīsiniet 3\times 7\times 10 gan skaitītājā, gan saucējā.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+\frac{\frac{24}{9}}{\frac{4}{9}}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Daliet \frac{24}{9} ar \frac{4}{9}, reizinot \frac{24}{9} ar apgriezto daļskaitli \frac{4}{9} .

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+\frac{24\times 9}{9\times 4}\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Saīsiniet 3\times 3\times 4 gan skaitītājā, gan saucējā.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+2\times 3\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Reiziniet 2 un 3, lai iegūtu 6.

$$\frac{1}{4}+\lceil \left(\frac{3}{4}+6\right)\times \frac{2}{27}+\frac{5}{12}\rceil$$

Saskaitiet \frac{3}{4} un 6, lai iegūtu \frac{27}{4}.

$$\frac{1}{4}+\lceil \frac{27}{4}\times \frac{2}{27}+\frac{5}{12}\rceil$$

Reiziniet \frac{27}{4} un \frac{2}{27}, lai iegūtu \frac{1}{2}.

$$\frac{1}{4}+\lceil \frac{1}{2}+\frac{5}{12}\rceil$$

Saskaitiet \frac{1}{2} un \frac{5}{12}, lai iegūtu \frac{11}{12}.

$$\frac{1}{4}+\lceil \frac{11}{12}\rceil$$

Dalot 11 ar 12, tiek iegūts 0 un atlikums 11. Pārrakstiet \frac{11}{12} kā 0+\frac{11}{12}.

$$\frac{1}{4}+\lceil 0+\frac{11}{12}\rceil$$

Reālā skaitļa a maksimums ir mazākais veselais skaitlis, kas ir lielāks par vai vienāds ar a. 0+\frac{11}{12} maksimums ir 1.

$$\frac{1}{4}+1$$

Saskaitiet \frac{1}{4} un 1, lai iegūtu \frac{5}{4}.

$$\frac{5}{4}$$

Sadalīt reizinātājos

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1,25$$