Whakaoti i te 1/8div2-3/4*(5/2)^2

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

Aromātai

$$-\frac{37}{8}=-4.625$$

Ngā Upane Otinga

Tuhia te \frac{\frac{1}{8}}{2} hei hautanga kotahi.

$$\frac{1}{8\times 2}-\frac{3}{4}\times \left(\frac{5}{2}\right)^{2}$$

Whakareatia te 8 ki te 2, ka 16.

$$\frac{1}{16}-\frac{3}{4}\times \left(\frac{5}{2}\right)^{2}$$

Tātaihia te \frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.

$$\frac{1}{16}-\frac{3}{4}\times \frac{25}{4}$$

Me whakarea te \frac{3}{4} ki te \frac{25}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1}{16}-\frac{3\times 25}{4\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 25}{4\times 4}.

$$\frac{1}{16}-\frac{75}{16}$$

Tā te mea he rite te tauraro o \frac{1}{16} me \frac{75}{16}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-75}{16}$$

Tangohia te 75 i te 1, ka -74.

$$\frac{-74}{16}$$

Whakahekea te hautanga \frac{-74}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{37}{8}$$

Tauwehe

$$-\frac{37}{8} = -4\frac{5}{8} = -4.625$$