Whakaoti i te (14/5-33/8)div(-3/4)^2

$$( 1 \frac { 4 } { 5 } - 3 \frac { 3 } { 8 } ) \div ( - \frac { 3 } { 4 } ) ^ { 2 }$$

Aromātai

$$-\frac{14}{5}=-2.8$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

$$\frac{\frac{5+4}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Tāpirihia te 5 ki te 4, ka 9.

$$\frac{\frac{9}{5}-\frac{3\times 8+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Whakareatia te 3 ki te 8, ka 24.

$$\frac{\frac{9}{5}-\frac{24+3}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Tāpirihia te 24 ki te 3, ka 27.

$$\frac{\frac{9}{5}-\frac{27}{8}}{\left(-\frac{3}{4}\right)^{2}}$$

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{9}{5} me \frac{27}{8} ki te hautau me te tautūnga 40.

$$\frac{\frac{72}{40}-\frac{135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Tā te mea he rite te tauraro o \frac{72}{40} me \frac{135}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{72-135}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Tangohia te 135 i te 72, ka -63.

$$\frac{-\frac{63}{40}}{\left(-\frac{3}{4}\right)^{2}}$$

Tātaihia te -\frac{3}{4} mā te pū o 2, kia riro ko \frac{9}{16}.

$$\frac{-\frac{63}{40}}{\frac{9}{16}}$$

Whakawehe -\frac{63}{40} ki te \frac{9}{16} mā te whakarea -\frac{63}{40} ki te tau huripoki o \frac{9}{16}.

$$-\frac{63}{40}\times \frac{16}{9}$$

Me whakarea te -\frac{63}{40} ki te \frac{16}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-63\times 16}{40\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{-63\times 16}{40\times 9}.

$$\frac{-1008}{360}$$

Whakahekea te hautanga \frac{-1008}{360} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 72.

$$-\frac{14}{5}$$

Tauwehe

$$-\frac{14}{5} = -2\frac{4}{5} = -2.8$$