Whakaoti i te 24/13*(4/5-7/12)-7:31/2

$$2 \frac { 4 } { 13 } \cdot ( \frac { 4 } { 5 } - \frac { 7 } { 12 } ) - 7 : 3 \frac { 1 } { 2 }$$

Aromātai

$$-\frac{3}{2}=-1.5$$

Ngā Upane Otinga

Whakareatia te 2 ki te 13, ka 26.

$$\frac{26+4}{13}\left(\frac{4}{5}-\frac{7}{12}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

Tāpirihia te 26 ki te 4, ka 30.

$$\frac{30}{13}\left(\frac{4}{5}-\frac{7}{12}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

Ko te maha noa iti rawa atu o 5 me 12 ko 60. Me tahuri \frac{4}{5} me \frac{7}{12} ki te hautau me te tautūnga 60.

$$\frac{30}{13}\left(\frac{48}{60}-\frac{35}{60}\right)-\frac{7}{\frac{3\times 2+1}{2}}$$

Tā te mea he rite te tauraro o \frac{48}{60} me \frac{35}{60}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{30}{13}\times \frac{48-35}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Tangohia te 35 i te 48, ka 13.

$$\frac{30}{13}\times \frac{13}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Me whakarea te \frac{30}{13} ki te \frac{13}{60} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{30\times 13}{13\times 60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Me whakakore tahi te 13 i te taurunga me te tauraro.

$$\frac{30}{60}-\frac{7}{\frac{3\times 2+1}{2}}$$

Whakahekea te hautanga \frac{30}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 30.

$$\frac{1}{2}-\frac{7}{\frac{3\times 2+1}{2}}$$

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

$$\frac{1}{2}-\frac{7\times 2}{3\times 2+1}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{1}{2}-\frac{14}{3\times 2+1}$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{1}{2}-\frac{14}{6+1}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{1}{2}-\frac{14}{7}$$

Whakawehea te 14 ki te 7, kia riro ko 2.

$$\frac{1}{2}-2$$

Me tahuri te 2 ki te hautau \frac{4}{2}.

$$\frac{1}{2}-\frac{4}{2}$$

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{4}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-4}{2}$$

Tangohia te 4 i te 1, ka -3.

$$-\frac{3}{2}$$

Tauwehe

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$