Whakaoti i te (2/3-4/5)/(frac{5{4}+3/2)}div(frac{7}{2}-frac{3}{2})=

$$\frac { ( \frac { 2 } { 3 } - \frac { 4 } { 5 } ) } { ( \frac { 5 } { 4 } + \frac { 3 } { 2 } ) } \div ( \frac { 7 } { 2 } - \frac { 3 } { 2 } ) =$$

Aromātai

$$-\frac{4}{165}\approx -0.024242424$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{2}{3} me \frac{4}{5} ki te hautau me te tautūnga 15.

$$\frac{\frac{\frac{10}{15}-\frac{12}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

Tā te mea he rite te tauraro o \frac{10}{15} me \frac{12}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{\frac{10-12}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

Tangohia te 12 i te 10, ka -2.

$$\frac{\frac{-\frac{2}{15}}{\frac{5}{4}+\frac{3}{2}}}{\frac{7}{2}-\frac{3}{2}}$$

Ko te maha noa iti rawa atu o 4 me 2 ko 4. Me tahuri \frac{5}{4} me \frac{3}{2} ki te hautau me te tautūnga 4.

$$\frac{\frac{-\frac{2}{15}}{\frac{5}{4}+\frac{6}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{6}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{-\frac{2}{15}}{\frac{5+6}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

Tāpirihia te 5 ki te 6, ka 11.

$$\frac{\frac{-\frac{2}{15}}{\frac{11}{4}}}{\frac{7}{2}-\frac{3}{2}}$$

Whakawehe -\frac{2}{15} ki te \frac{11}{4} mā te whakarea -\frac{2}{15} ki te tau huripoki o \frac{11}{4}.

$$\frac{-\frac{2}{15}\times \frac{4}{11}}{\frac{7}{2}-\frac{3}{2}}$$

Me whakarea te -\frac{2}{15} ki te \frac{4}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{-2\times 4}{15\times 11}}{\frac{7}{2}-\frac{3}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-2\times 4}{15\times 11}.

$$\frac{\frac{-8}{165}}{\frac{7}{2}-\frac{3}{2}}$$

Ka taea te hautanga \frac{-8}{165} te tuhi anō ko -\frac{8}{165} mā te tango i te tohu tōraro.

$$\frac{-\frac{8}{165}}{\frac{7}{2}-\frac{3}{2}}$$

Tā te mea he rite te tauraro o \frac{7}{2} me \frac{3}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-\frac{8}{165}}{\frac{7-3}{2}}$$

Tangohia te 3 i te 7, ka 4.

$$\frac{-\frac{8}{165}}{\frac{4}{2}}$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$\frac{-\frac{8}{165}}{2}$$

Tuhia te \frac{-\frac{8}{165}}{2} hei hautanga kotahi.

$$\frac{-8}{165\times 2}$$

Whakareatia te 165 ki te 2, ka 330.

$$\frac{-8}{330}$$

Whakahekea te hautanga \frac{-8}{330} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{4}{165}$$

Tauwehe

$$-\frac{4}{165} = -0.024242424242424242$$