Whakaoti i te 11/2+{1/4+(-2/3)}div{-5/8*(-frac{4}{9})}

$$1 \frac { 1 } { 2 } + \{ \frac { 1 } { 4 } + ( - \frac { 2 } { 3 } ) \} \div \{ - \frac { 5 } { 8 } \times ( - \frac { 4 } { 9 } ) \}$$

Aromātai

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Ngā Upane Otinga

Whakareatia te 1 ki te 2, ka 2.

$$\frac{2+1}{2}+\frac{\frac{1}{4}-\frac{2}{3}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{3}{2}+\frac{\frac{1}{4}-\frac{2}{3}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

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

$$\frac{3}{2}+\frac{\frac{3}{12}-\frac{8}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

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

$$\frac{3}{2}+\frac{\frac{3-8}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

Tangohia te 8 i te 3, ka -5.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{-\frac{5}{8}\left(-\frac{4}{9}\right)}$$

Me whakarea te -\frac{5}{8} ki te -\frac{4}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{-5\left(-4\right)}{8\times 9}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\left(-4\right)}{8\times 9}.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{20}{72}}$$

Whakahekea te hautanga \frac{20}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{3}{2}+\frac{-\frac{5}{12}}{\frac{5}{18}}$$

Whakawehe -\frac{5}{12} ki te \frac{5}{18} mā te whakarea -\frac{5}{12} ki te tau huripoki o \frac{5}{18}.

$$\frac{3}{2}-\frac{5}{12}\times \frac{18}{5}$$

Me whakarea te -\frac{5}{12} ki te \frac{18}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3}{2}+\frac{-5\times 18}{12\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\times 18}{12\times 5}.

$$\frac{3}{2}+\frac{-90}{60}$$

Whakahekea te hautanga \frac{-90}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 30.

$$\frac{3}{2}-\frac{3}{2}$$

Tangohia te \frac{3}{2} i te \frac{3}{2}, ka 0.

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Tauwehe

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