Whakaoti i te 24/13(3/8-4/15)-11:51/2

$$2 \frac { 4 } { 13 } ( \frac { 3 } { 8 } - \frac { 4 } { 15 } ) - 11 : 5 \frac { 1 } { 2 }$$

Aromātai

$$-\frac{7}{4}=-1.75$$

Ngā Upane Otinga

Whakareatia te 2 ki te 13, ka 26.

$$\frac{26+4}{13}\left(\frac{3}{8}-\frac{4}{15}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

Tāpirihia te 26 ki te 4, ka 30.

$$\frac{30}{13}\left(\frac{3}{8}-\frac{4}{15}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

Ko te maha noa iti rawa atu o 8 me 15 ko 120. Me tahuri \frac{3}{8} me \frac{4}{15} ki te hautau me te tautūnga 120.

$$\frac{30}{13}\left(\frac{45}{120}-\frac{32}{120}\right)-\frac{11}{\frac{5\times 2+1}{2}}$$

Tā te mea he rite te tauraro o \frac{45}{120} me \frac{32}{120}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{30}{13}\times \frac{45-32}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

Tangohia te 32 i te 45, ka 13.

$$\frac{30}{13}\times \frac{13}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

Me whakarea te \frac{30}{13} ki te \frac{13}{120} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{30\times 13}{13\times 120}-\frac{11}{\frac{5\times 2+1}{2}}$$

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

$$\frac{30}{120}-\frac{11}{\frac{5\times 2+1}{2}}$$

Whakahekea te hautanga \frac{30}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 30.

$$\frac{1}{4}-\frac{11}{\frac{5\times 2+1}{2}}$$

Whakawehe 11 ki te \frac{5\times 2+1}{2} mā te whakarea 11 ki te tau huripoki o \frac{5\times 2+1}{2}.

$$\frac{1}{4}-\frac{11\times 2}{5\times 2+1}$$

Whakareatia te 11 ki te 2, ka 22.

$$\frac{1}{4}-\frac{22}{5\times 2+1}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{1}{4}-\frac{22}{10+1}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{1}{4}-\frac{22}{11}$$

Whakawehea te 22 ki te 11, kia riro ko 2.

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

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{1}{4}-\frac{8}{4}$$

Tā te mea he rite te tauraro o \frac{1}{4} me \frac{8}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-8}{4}$$

Tangohia te 8 i te 1, ka -7.

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

Tauwehe

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$