Whakaoti i te 11/3*41/2+52/3-21/4

$$1 \frac { 1 } { 3 } \cdot 4 \frac { 1 } { 2 } + 5 \frac { 2 } { 3 } - 2 \frac { 1 } { 4 }$$

Aromātai

$$\frac{113}{12}\approx 9.416666667$$

Ngā Upane Otinga

Whakareatia te 1 ki te 3, ka 3.

$$\frac{3+1}{3}\times \frac{4\times 2+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{4}{3}\times \frac{4\times 2+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{4}{3}\times \frac{8+1}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{4}{3}\times \frac{9}{2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Me whakarea te \frac{4}{3} ki te \frac{9}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 9}{3\times 2}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 9}{3\times 2}.

$$\frac{36}{6}+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Whakawehea te 36 ki te 6, kia riro ko 6.

$$6+\frac{5\times 3+2}{3}-\frac{2\times 4+1}{4}$$

Whakareatia te 5 ki te 3, ka 15.

$$6+\frac{15+2}{3}-\frac{2\times 4+1}{4}$$

Tāpirihia te 15 ki te 2, ka 17.

$$6+\frac{17}{3}-\frac{2\times 4+1}{4}$$

Me tahuri te 6 ki te hautau \frac{18}{3}.

$$\frac{18}{3}+\frac{17}{3}-\frac{2\times 4+1}{4}$$

Tā te mea he rite te tauraro o \frac{18}{3} me \frac{17}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{18+17}{3}-\frac{2\times 4+1}{4}$$

Tāpirihia te 18 ki te 17, ka 35.

$$\frac{35}{3}-\frac{2\times 4+1}{4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{35}{3}-\frac{8+1}{4}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{35}{3}-\frac{9}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{35}{3} me \frac{9}{4} ki te hautau me te tautūnga 12.

$$\frac{140}{12}-\frac{27}{12}$$

Tā te mea he rite te tauraro o \frac{140}{12} me \frac{27}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{140-27}{12}$$

Tangohia te 27 i te 140, ka 113.

$$\frac{113}{12}$$

Tauwehe

$$\frac{113}{2 ^ {2} \cdot 3} = 9\frac{5}{12} = 9.416666666666666$$