Whakaoti i te {1/6+(-3/4)*2/3}div{1/3-(-1frac{1}{6})}

$$\{ \frac { 1 } { 6 } + ( - \frac { 3 } { 4 } ) \times \frac { 2 } { 3 } \} \div \{ \frac { 1 } { 3 } - ( - 1 \frac { 1 } { 6 } ) \}$$

Aromātai

$$-\frac{2}{9}\approx -0.222222222$$

Ngā Upane Otinga

Me whakarea te -\frac{3}{4} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{-3\times 2}{4\times 3}.

$$\frac{\frac{1}{6}+\frac{-6}{12}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

Whakahekea te hautanga \frac{-6}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

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

Ko te maha noa iti rawa atu o 6 me 2 ko 6. Me tahuri \frac{1}{6} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{\frac{1}{6}-\frac{3}{6}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

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

$$\frac{\frac{1-3}{6}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

Tangohia te 3 i te 1, ka -2.

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

Whakahekea te hautanga \frac{-2}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{1\times 6+1}{6}\right)}$$

Whakareatia te 1 ki te 6, ka 6.

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{6+1}{6}\right)}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{-\frac{1}{3}}{\frac{1}{3}-\left(-\frac{7}{6}\right)}$$

Ko te tauaro o -\frac{7}{6} ko \frac{7}{6}.

$$\frac{-\frac{1}{3}}{\frac{1}{3}+\frac{7}{6}}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{1}{3} me \frac{7}{6} ki te hautau me te tautūnga 6.

$$\frac{-\frac{1}{3}}{\frac{2}{6}+\frac{7}{6}}$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{7}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-\frac{1}{3}}{\frac{2+7}{6}}$$

Tāpirihia te 2 ki te 7, ka 9.

$$\frac{-\frac{1}{3}}{\frac{9}{6}}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{-\frac{1}{3}}{\frac{3}{2}}$$

Whakawehe -\frac{1}{3} ki te \frac{3}{2} mā te whakarea -\frac{1}{3} ki te tau huripoki o \frac{3}{2}.

$$-\frac{1}{3}\times \frac{2}{3}$$

Me whakarea te -\frac{1}{3} ki te \frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

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

$$\frac{-2}{9}$$

Ka taea te hautanga \frac{-2}{9} te tuhi anō ko -\frac{2}{9} mā te tango i te tohu tōraro.

$$-\frac{2}{9}$$

Tauwehe

$$-\frac{2}{9} = -0.2222222222222222$$