Whakaoti i te (-47/8)-(-51/2)+(-41/4)-(+31/8)

$$( - 4 \frac { 7 } { 8 } ) - ( - 5 \frac { 1 } { 2 } ) + ( - 4 \frac { 1 } { 4 } ) - ( + 3 \frac { 1 } { 8 } )$$

Aromātai

$$-\frac{27}{4}=-6.75$$

Ngā Upane Otinga

Whakareatia te 4 ki te 8, ka 32.

$$-\frac{32+7}{8}-\left(-\frac{5\times 2+1}{2}\right)-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Tāpirihia te 32 ki te 7, ka 39.

$$-\frac{39}{8}-\left(-\frac{5\times 2+1}{2}\right)-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Whakareatia te 5 ki te 2, ka 10.

$$-\frac{39}{8}-\left(-\frac{10+1}{2}\right)-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Tāpirihia te 10 ki te 1, ka 11.

$$-\frac{39}{8}-\left(-\frac{11}{2}\right)-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Ko te tauaro o -\frac{11}{2} ko \frac{11}{2}.

$$-\frac{39}{8}+\frac{11}{2}-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Ko te maha noa iti rawa atu o 8 me 2 ko 8. Me tahuri -\frac{39}{8} me \frac{11}{2} ki te hautau me te tautūnga 8.

$$-\frac{39}{8}+\frac{44}{8}-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Tā te mea he rite te tauraro o -\frac{39}{8} me \frac{44}{8}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-39+44}{8}-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Tāpirihia te -39 ki te 44, ka 5.

$$\frac{5}{8}-\frac{4\times 4+1}{4}-\frac{3\times 8+1}{8}$$

Whakareatia te 4 ki te 4, ka 16.

$$\frac{5}{8}-\frac{16+1}{4}-\frac{3\times 8+1}{8}$$

Tāpirihia te 16 ki te 1, ka 17.

$$\frac{5}{8}-\frac{17}{4}-\frac{3\times 8+1}{8}$$

Ko te maha noa iti rawa atu o 8 me 4 ko 8. Me tahuri \frac{5}{8} me \frac{17}{4} ki te hautau me te tautūnga 8.

$$\frac{5}{8}-\frac{34}{8}-\frac{3\times 8+1}{8}$$

Tā te mea he rite te tauraro o \frac{5}{8} me \frac{34}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5-34}{8}-\frac{3\times 8+1}{8}$$

Tangohia te 34 i te 5, ka -29.

$$-\frac{29}{8}-\frac{3\times 8+1}{8}$$

Whakareatia te 3 ki te 8, ka 24.

$$-\frac{29}{8}-\frac{24+1}{8}$$

Tāpirihia te 24 ki te 1, ka 25.

$$-\frac{29}{8}-\frac{25}{8}$$

Tā te mea he rite te tauraro o -\frac{29}{8} me \frac{25}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-29-25}{8}$$

Tangohia te 25 i te -29, ka -54.

$$\frac{-54}{8}$$

Whakahekea te hautanga \frac{-54}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{27}{4}$$

Tauwehe

$$-\frac{27}{4} = -6\frac{3}{4} = -6.75$$