Whakaoti i te 2-frac{1/3/frac{3{4}}+1+2/3/frac{1{4}}}{1-frac{1}{2}}*frac{9}{40}

$$\frac { \frac { 2 - \frac { 1 } { 3 } } { \frac { 3 } { 4 } } + \frac { 1 + \frac { 2 } { 3 } } { \frac { 1 } { 4 } } } { 1 - \frac { 1 } { 2 } } \times \frac { 9 } { 40 }$$

Aromātai

$$4$$

Ngā Upane Otinga

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{\frac{6}{3}-\frac{1}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tā te mea he rite te tauraro o \frac{6}{3} me \frac{1}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{\frac{6-1}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tangohia te 1 i te 6, ka 5.

$$\frac{\frac{\frac{5}{3}}{\frac{3}{4}}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Whakawehe \frac{5}{3} ki te \frac{3}{4} mā te whakarea \frac{5}{3} ki te tau huripoki o \frac{3}{4}.

$$\frac{\frac{5}{3}\times \frac{4}{3}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Me whakarea te \frac{5}{3} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{5\times 4}{3\times 3}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 4}{3\times 3}.

$$\frac{\frac{20}{9}+\frac{1+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{\frac{20}{9}+\frac{\frac{3}{3}+\frac{2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{2}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{20}{9}+\frac{\frac{3+2}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{20}{9}+\frac{\frac{5}{3}}{\frac{1}{4}}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Whakawehe \frac{5}{3} ki te \frac{1}{4} mā te whakarea \frac{5}{3} ki te tau huripoki o \frac{1}{4}.

$$\frac{\frac{20}{9}+\frac{5}{3}\times 4}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tuhia te \frac{5}{3}\times 4 hei hautanga kotahi.

$$\frac{\frac{20}{9}+\frac{5\times 4}{3}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Whakareatia te 5 ki te 4, ka 20.

$$\frac{\frac{20}{9}+\frac{20}{3}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{20}{9} me \frac{20}{3} ki te hautau me te tautūnga 9.

$$\frac{\frac{20}{9}+\frac{60}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tā te mea he rite te tauraro o \frac{20}{9} me \frac{60}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{20+60}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Tāpirihia te 20 ki te 60, ka 80.

$$\frac{\frac{80}{9}}{1-\frac{1}{2}}\times \frac{9}{40}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{\frac{80}{9}}{\frac{2}{2}-\frac{1}{2}}\times \frac{9}{40}$$

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

$$\frac{\frac{80}{9}}{\frac{2-1}{2}}\times \frac{9}{40}$$

Tangohia te 1 i te 2, ka 1.

$$\frac{\frac{80}{9}}{\frac{1}{2}}\times \frac{9}{40}$$

Whakawehe \frac{80}{9} ki te \frac{1}{2} mā te whakarea \frac{80}{9} ki te tau huripoki o \frac{1}{2}.

$$\frac{80}{9}\times 2\times \frac{9}{40}$$

Tuhia te \frac{80}{9}\times 2 hei hautanga kotahi.

$$\frac{80\times 2}{9}\times \frac{9}{40}$$

Whakareatia te 80 ki te 2, ka 160.

$$\frac{160}{9}\times \frac{9}{40}$$

Me whakarea te \frac{160}{9} ki te \frac{9}{40} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{160\times 9}{9\times 40}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$\frac{160}{40}$$

Whakawehea te 160 ki te 40, kia riro ko 4.

$$4$$

Tauwehe

$$2^{2}$$