Whakaoti i te 1/2-(-3)div6/5+4/9(-3/8)-1

$$\frac{ 1 }{ 2 } -(-3) \div \frac{ 6 }{ 5 } + \frac{ 4 }{ 9 } (- \frac{ 3 }{ 8 } )-1$$

Aromātai

$$\frac{11}{6}\approx 1.833333333$$

Ngā Upane Otinga

Whakawehe -3 ki te \frac{6}{5} mā te whakarea -3 ki te tau huripoki o \frac{6}{5}.

$$\frac{1}{2}-\left(-3\times \frac{5}{6}\right)+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

Tuhia te -3\times \frac{5}{6} hei hautanga kotahi.

$$\frac{1}{2}-\frac{-3\times 5}{6}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

Whakareatia te -3 ki te 5, ka -15.

$$\frac{1}{2}-\frac{-15}{6}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

Whakahekea te hautanga \frac{-15}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

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

Ko te tauaro o -\frac{5}{2} ko \frac{5}{2}.

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

Tā te mea he rite te tauraro o \frac{1}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 1 ki te 5, ka 6.

$$\frac{6}{2}+\frac{4}{9}\left(-\frac{3}{8}\right)-1$$

Whakawehea te 6 ki te 2, kia riro ko 3.

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

Me whakarea te \frac{4}{9} ki te -\frac{3}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-3\right)}{9\times 8}.

$$3+\frac{-12}{72}-1$$

Whakahekea te hautanga \frac{-12}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$3-\frac{1}{6}-1$$

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

$$\frac{18}{6}-\frac{1}{6}-1$$

Tā te mea he rite te tauraro o \frac{18}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{18-1}{6}-1$$

Tangohia te 1 i te 18, ka 17.

$$\frac{17}{6}-1$$

Me tahuri te 1 ki te hautau \frac{6}{6}.

$$\frac{17}{6}-\frac{6}{6}$$

Tā te mea he rite te tauraro o \frac{17}{6} me \frac{6}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{17-6}{6}$$

Tangohia te 6 i te 17, ka 11.

$$\frac{11}{6}$$

Tauwehe

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$