Whakaoti i te (4/5-8/15div22/3)*12/3

$$( \frac{ 4 }{ 5 } - \frac{ 8 }{ 15 } \div 2 \frac { 2 } { 3 } ) \times 1 \frac { 2 } { 3 }$$

Aromātai

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Ngā Upane Otinga

Whakawehe \frac{8}{15} ki te \frac{2\times 3+2}{3} mā te whakarea \frac{8}{15} ki te tau huripoki o \frac{2\times 3+2}{3}.

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

Me whakakore tahi te 3 i te taurunga me te tauraro.

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

Whakareatia te 2 ki te 3, ka 6.

$$\left(\frac{4}{5}-\frac{8}{5\left(2+6\right)}\right)\times \frac{1\times 3+2}{3}$$

Tāpirihia te 2 ki te 6, ka 8.

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

Whakareatia te 5 ki te 8, ka 40.

$$\left(\frac{4}{5}-\frac{8}{40}\right)\times \frac{1\times 3+2}{3}$$

Whakahekea te hautanga \frac{8}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

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

Tā te mea he rite te tauraro o \frac{4}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te 4, ka 3.

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

Whakareatia te 1 ki te 3, ka 3.

$$\frac{3}{5}\times \frac{3+2}{3}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{3}{5}\times \frac{5}{3}$$

Me whakakore atu te \frac{3}{5} me tōna tau utu \frac{5}{3}.

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Tauwehe

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