Whakaoti i te 23/4:1/7-22/6-(-5)

$$\frac { 2 \frac { 3 } { 4 } : \frac { 1 } { 7 } - 22 } { 6 - ( - 5 ) }$$

Aromātai

$$-\frac{1}{4}=-0.25$$

Ngā Upane Otinga

Whakawehe \frac{2\times 4+3}{4} ki te \frac{1}{7} mā te whakarea \frac{2\times 4+3}{4} ki te tau huripoki o \frac{1}{7}.

$$\frac{\frac{\left(2\times 4+3\right)\times 7}{4}-22}{6-\left(-5\right)}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{\frac{\left(8+3\right)\times 7}{4}-22}{6-\left(-5\right)}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{\frac{11\times 7}{4}-22}{6-\left(-5\right)}$$

Whakareatia te 11 ki te 7, ka 77.

$$\frac{\frac{77}{4}-22}{6-\left(-5\right)}$$

Me tahuri te 22 ki te hautau \frac{88}{4}.

$$\frac{\frac{77}{4}-\frac{88}{4}}{6-\left(-5\right)}$$

Tā te mea he rite te tauraro o \frac{77}{4} me \frac{88}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{77-88}{4}}{6-\left(-5\right)}$$

Tangohia te 88 i te 77, ka -11.

$$\frac{-\frac{11}{4}}{6-\left(-5\right)}$$

Ko te tauaro o -5 ko 5.

$$\frac{-\frac{11}{4}}{6+5}$$

Tāpirihia te 6 ki te 5, ka 11.

$$\frac{-\frac{11}{4}}{11}$$

Tuhia te \frac{-\frac{11}{4}}{11} hei hautanga kotahi.

$$\frac{-11}{4\times 11}$$

Whakareatia te 4 ki te 11, ka 44.

$$\frac{-11}{44}$$

Whakahekea te hautanga \frac{-11}{44} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

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

Tauwehe

$$-\frac{1}{4} = -0.25$$