Whakaoti i te [(9)-{8-(1/3+1/4)*6}]div{8-(1/3+1/2)*6}

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

Aromātai

$$\frac{3}{2}=1.5$$

Ngā Upane Otinga

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

$$\frac{9-\left(8-\left(\frac{4}{12}+\frac{3}{12}\right)\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tā te mea he rite te tauraro o \frac{4}{12} me \frac{3}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9-\left(8-\frac{4+3}{12}\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{9-\left(8-\frac{7}{12}\times 6\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tuhia te \frac{7}{12}\times 6 hei hautanga kotahi.

$$\frac{9-\left(8-\frac{7\times 6}{12}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Whakareatia te 7 ki te 6, ka 42.

$$\frac{9-\left(8-\frac{42}{12}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Whakahekea te hautanga \frac{42}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{9-\left(8-\frac{7}{2}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Me tahuri te 8 ki te hautau \frac{16}{2}.

$$\frac{9-\left(\frac{16}{2}-\frac{7}{2}\right)}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tā te mea he rite te tauraro o \frac{16}{2} me \frac{7}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-\frac{16-7}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tangohia te 7 i te 16, ka 9.

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

Me tahuri te 9 ki te hautau \frac{18}{2}.

$$\frac{\frac{18}{2}-\frac{9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tā te mea he rite te tauraro o \frac{18}{2} me \frac{9}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{18-9}{2}}{8-\left(\frac{1}{3}+\frac{1}{2}\right)\times 6}$$

Tangohia te 9 i te 18, ka 9.

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

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

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

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{9}{2}}{8-\frac{2+3}{6}\times 6}$$

Tāpirihia te 2 ki te 3, ka 5.

$$\frac{\frac{9}{2}}{8-\frac{5}{6}\times 6}$$

Me whakakore te 6 me te 6.

$$\frac{\frac{9}{2}}{8-5}$$

Tangohia te 5 i te 8, ka 3.

$$\frac{\frac{9}{2}}{3}$$

Tuhia te \frac{\frac{9}{2}}{3} hei hautanga kotahi.

$$\frac{9}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{9}{6}$$

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

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

Tauwehe

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$