Whakaoti i te 4/7+(-21/2)+(+1/2)-(-13/7)

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

Aromātai

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Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

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

Tāpirihia te 4 ki te 1, ka 5.

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

Ko te maha noa iti rawa atu o 7 me 2 ko 14. Me tahuri \frac{4}{7} me \frac{5}{2} ki te hautau me te tautūnga 14.

$$\frac{8}{14}-\frac{35}{14}+\frac{1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Tā te mea he rite te tauraro o \frac{8}{14} me \frac{35}{14}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-35}{14}+\frac{1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Tangohia te 35 i te 8, ka -27.

$$-\frac{27}{14}+\frac{1}{2}-\left(-\frac{1\times 7+3}{7}\right)$$

Ko te maha noa iti rawa atu o 14 me 2 ko 14. Me tahuri -\frac{27}{14} me \frac{1}{2} ki te hautau me te tautūnga 14.

$$-\frac{27}{14}+\frac{7}{14}-\left(-\frac{1\times 7+3}{7}\right)$$

Tā te mea he rite te tauraro o -\frac{27}{14} me \frac{7}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-27+7}{14}-\left(-\frac{1\times 7+3}{7}\right)$$

Tāpirihia te -27 ki te 7, ka -20.

$$\frac{-20}{14}-\left(-\frac{1\times 7+3}{7}\right)$$

Whakahekea te hautanga \frac{-20}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{10}{7}-\left(-\frac{1\times 7+3}{7}\right)$$

Whakareatia te 1 ki te 7, ka 7.

$$-\frac{10}{7}-\left(-\frac{7+3}{7}\right)$$

Tāpirihia te 7 ki te 3, ka 10.

$$-\frac{10}{7}-\left(-\frac{10}{7}\right)$$

Ko te tauaro o -\frac{10}{7} ko \frac{10}{7}.

$$-\frac{10}{7}+\frac{10}{7}$$

Tāpirihia te -\frac{10}{7} ki te \frac{10}{7}, ka 0.

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Tauwehe

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