Whakaoti i te 42/23div(+38/23)-(+217/23)+(-17/23)

$$4 \frac { 2 } { 23 } \div ( + 3 \frac { 8 } { 23 } ) - ( + 2 \frac { 17 } { 23 } ) + ( - 1 \frac { 7 } { 23 } )$$

Aromātai

$$-\frac{4999}{1771}\approx -2.82269904$$

Ngā Upane Otinga

Whakawehe \frac{4\times 23+2}{23} ki te \frac{3\times 23+8}{23} mā te whakarea \frac{4\times 23+2}{23} ki te tau huripoki o \frac{3\times 23+8}{23}.

$$\frac{\left(4\times 23+2\right)\times 23}{23\left(3\times 23+8\right)}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Me whakakore tahi te 23 i te taurunga me te tauraro.

$$\frac{2+4\times 23}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Whakareatia te 4 ki te 23, ka 92.

$$\frac{2+92}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Tāpirihia te 2 ki te 92, ka 94.

$$\frac{94}{8+3\times 23}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Whakareatia te 3 ki te 23, ka 69.

$$\frac{94}{8+69}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Tāpirihia te 8 ki te 69, ka 77.

$$\frac{94}{77}-\frac{2\times 23+17}{23}-\frac{1\times 23+7}{23}$$

Whakareatia te 2 ki te 23, ka 46.

$$\frac{94}{77}-\frac{46+17}{23}-\frac{1\times 23+7}{23}$$

Tāpirihia te 46 ki te 17, ka 63.

$$\frac{94}{77}-\frac{63}{23}-\frac{1\times 23+7}{23}$$

Ko te maha noa iti rawa atu o 77 me 23 ko 1771. Me tahuri \frac{94}{77} me \frac{63}{23} ki te hautau me te tautūnga 1771.

$$\frac{2162}{1771}-\frac{4851}{1771}-\frac{1\times 23+7}{23}$$

Tā te mea he rite te tauraro o \frac{2162}{1771} me \frac{4851}{1771}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2162-4851}{1771}-\frac{1\times 23+7}{23}$$

Tangohia te 4851 i te 2162, ka -2689.

$$-\frac{2689}{1771}-\frac{1\times 23+7}{23}$$

Whakareatia te 1 ki te 23, ka 23.

$$-\frac{2689}{1771}-\frac{23+7}{23}$$

Tāpirihia te 23 ki te 7, ka 30.

$$-\frac{2689}{1771}-\frac{30}{23}$$

Ko te maha noa iti rawa atu o 1771 me 23 ko 1771. Me tahuri -\frac{2689}{1771} me \frac{30}{23} ki te hautau me te tautūnga 1771.

$$-\frac{2689}{1771}-\frac{2310}{1771}$$

Tā te mea he rite te tauraro o -\frac{2689}{1771} me \frac{2310}{1771}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-2689-2310}{1771}$$

Tangohia te 2310 i te -2689, ka -4999.

$$-\frac{4999}{1771}$$

Tauwehe

$$-\frac{4999}{1771} = -2\frac{1457}{1771} = -2.8226990400903444$$