Atrisiniet [(5/4+9/10-5/3):58/45]^2:(-frac{3}{4})^2+frac{1}{2}-2

$$[ ( \frac { 5 } { 4 } + \frac { 9 } { 10 } - \frac { 5 } { 3 } ) : \frac { 58 } { 45 } ] ^ { 2 } : ( - \frac { 3 } { 4 } ) ^ { 2 } + \frac { 1 } { 2 } - 2$$

Izrēķināt

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

Atrisinājuma darbības

Saskaitiet \frac{5}{4} un \frac{9}{10}, lai iegūtu \frac{43}{20}.

$$\frac{\left(\frac{\frac{43}{20}-\frac{5}{3}}{\frac{58}{45}}\right)^{2}}{\left(-\frac{3}{4}\right)^{2}}+\frac{1}{2}-2$$

Atņemiet \frac{5}{3} no \frac{43}{20}, lai iegūtu \frac{29}{60}.

$$\frac{\left(\frac{\frac{29}{60}}{\frac{58}{45}}\right)^{2}}{\left(-\frac{3}{4}\right)^{2}}+\frac{1}{2}-2$$

Daliet \frac{29}{60} ar \frac{58}{45}, reizinot \frac{29}{60} ar apgriezto daļskaitli \frac{58}{45} .

$$\frac{\left(\frac{29}{60}\times \frac{45}{58}\right)^{2}}{\left(-\frac{3}{4}\right)^{2}}+\frac{1}{2}-2$$

Reiziniet \frac{29}{60} un \frac{45}{58}, lai iegūtu \frac{3}{8}.

$$\frac{\left(\frac{3}{8}\right)^{2}}{\left(-\frac{3}{4}\right)^{2}}+\frac{1}{2}-2$$

Aprēķiniet \frac{3}{8} pakāpē 2 un iegūstiet \frac{9}{64}.

$$\frac{\frac{9}{64}}{\left(-\frac{3}{4}\right)^{2}}+\frac{1}{2}-2$$

Aprēķiniet -\frac{3}{4} pakāpē 2 un iegūstiet \frac{9}{16}.

$$\frac{\frac{9}{64}}{\frac{9}{16}}+\frac{1}{2}-2$$

Daliet \frac{9}{64} ar \frac{9}{16}, reizinot \frac{9}{64} ar apgriezto daļskaitli \frac{9}{16} .

$$\frac{9}{64}\times \frac{16}{9}+\frac{1}{2}-2$$

Reiziniet \frac{9}{64} un \frac{16}{9}, lai iegūtu \frac{1}{4}.

$$\frac{1}{4}+\frac{1}{2}-2$$

Saskaitiet \frac{1}{4} un \frac{1}{2}, lai iegūtu \frac{3}{4}.

$$\frac{3}{4}-2$$

Atņemiet 2 no \frac{3}{4}, lai iegūtu -\frac{5}{4}.

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

Sadalīt reizinātājos

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