Whakaoti i te (2/3+1/4)*2/3div1/4

$$( \frac { 2 } { 3 } + \frac { 1 } { 4 } ) \times \frac { 2 } { 3 } \div \frac { 1 } { 4 }$$

Aromātai

$$\frac{22}{9}\approx 2.444444444$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{1}{4} ki te hautau me te tautūnga 12.

$$\frac{\left(\frac{8}{12}+\frac{3}{12}\right)\times \frac{2}{3}}{\frac{1}{4}}$$

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{8+3}{12}\times \frac{2}{3}}{\frac{1}{4}}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{\frac{11}{12}\times \frac{2}{3}}{\frac{1}{4}}$$

Me whakarea te \frac{11}{12} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{11\times 2}{12\times 3}}{\frac{1}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 2}{12\times 3}.

$$\frac{\frac{22}{36}}{\frac{1}{4}}$$

Whakahekea te hautanga \frac{22}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{11}{18}}{\frac{1}{4}}$$

Whakawehe \frac{11}{18} ki te \frac{1}{4} mā te whakarea \frac{11}{18} ki te tau huripoki o \frac{1}{4}.

$$\frac{11}{18}\times 4$$

Tuhia te \frac{11}{18}\times 4 hei hautanga kotahi.

$$\frac{11\times 4}{18}$$

Whakareatia te 11 ki te 4, ka 44.

$$\frac{44}{18}$$

Whakahekea te hautanga \frac{44}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{22}{9}$$

Tauwehe

$$\frac{2 \cdot 11}{3 ^ {2}} = 2\frac{4}{9} = 2.4444444444444446$$