Whakaoti i te -53/4+23/7-11/4-(-4/7)

$$- 5 \frac { 3 } { 4 } + 2 \frac { 3 } { 7 } - 1 \frac { 1 } { 4 } - ( - \frac { 4 } { 7 } )$$

Aromātai

$$-4$$

Ngā Upane Otinga

Whakareatia te 5 ki te 4, ka 20.

$$-\frac{20+3}{4}+\frac{2\times 7+3}{7}-\frac{1\times 4+1}{4}-\left(-\frac{4}{7}\right)$$

Tāpirihia te 20 ki te 3, ka 23.

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

Whakareatia te 2 ki te 7, ka 14.

$$-\frac{23}{4}+\frac{14+3}{7}-\frac{1\times 4+1}{4}-\left(-\frac{4}{7}\right)$$

Tāpirihia te 14 ki te 3, ka 17.

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

Ko te maha noa iti rawa atu o 4 me 7 ko 28. Me tahuri -\frac{23}{4} me \frac{17}{7} ki te hautau me te tautūnga 28.

$$-\frac{161}{28}+\frac{68}{28}-\frac{1\times 4+1}{4}-\left(-\frac{4}{7}\right)$$

Tā te mea he rite te tauraro o -\frac{161}{28} me \frac{68}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-161+68}{28}-\frac{1\times 4+1}{4}-\left(-\frac{4}{7}\right)$$

Tāpirihia te -161 ki te 68, ka -93.

$$-\frac{93}{28}-\frac{1\times 4+1}{4}-\left(-\frac{4}{7}\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$-\frac{93}{28}-\frac{4+1}{4}-\left(-\frac{4}{7}\right)$$

Tāpirihia te 4 ki te 1, ka 5.

$$-\frac{93}{28}-\frac{5}{4}-\left(-\frac{4}{7}\right)$$

Ko te maha noa iti rawa atu o 28 me 4 ko 28. Me tahuri -\frac{93}{28} me \frac{5}{4} ki te hautau me te tautūnga 28.

$$-\frac{93}{28}-\frac{35}{28}-\left(-\frac{4}{7}\right)$$

Tā te mea he rite te tauraro o -\frac{93}{28} me \frac{35}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-93-35}{28}-\left(-\frac{4}{7}\right)$$

Tangohia te 35 i te -93, ka -128.

$$\frac{-128}{28}-\left(-\frac{4}{7}\right)$$

Whakahekea te hautanga \frac{-128}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{32}{7}-\left(-\frac{4}{7}\right)$$

Ko te tauaro o -\frac{4}{7} ko \frac{4}{7}.

$$-\frac{32}{7}+\frac{4}{7}$$

Tā te mea he rite te tauraro o -\frac{32}{7} me \frac{4}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-32+4}{7}$$

Tāpirihia te -32 ki te 4, ka -28.

$$\frac{-28}{7}$$

Whakawehea te -28 ki te 7, kia riro ko -4.

$$-4$$

Tauwehe

$$-4$$