Whakaoti i te (-2/5div6/7)-(4/3div1/8)

$$( \frac { - 2 } { 5 } \div \frac { 6 } { 7 } ) - ( \frac { 4 } { 3 } \div \frac { 1 } { 8 } )$$

Aromātai

$$-\frac{167}{15}\approx -11.133333333$$

Ngā Upane Otinga

Whakawehe \frac{-2}{5} ki te \frac{6}{7} mā te whakarea \frac{-2}{5} ki te tau huripoki o \frac{6}{7}.

$$\frac{-2\times 7}{5\times 6}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{-7}{3\times 5}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{-7}{15}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Ka taea te hautanga \frac{-7}{15} te tuhi anō ko -\frac{7}{15} mā te tango i te tohu tōraro.

$$-\frac{7}{15}-\frac{\frac{4}{3}}{\frac{1}{8}}$$

Whakawehe \frac{4}{3} ki te \frac{1}{8} mā te whakarea \frac{4}{3} ki te tau huripoki o \frac{1}{8}.

$$-\frac{7}{15}-\frac{4}{3}\times 8$$

Tuhia te \frac{4}{3}\times 8 hei hautanga kotahi.

$$-\frac{7}{15}-\frac{4\times 8}{3}$$

Whakareatia te 4 ki te 8, ka 32.

$$-\frac{7}{15}-\frac{32}{3}$$

Ko te maha noa iti rawa atu o 15 me 3 ko 15. Me tahuri -\frac{7}{15} me \frac{32}{3} ki te hautau me te tautūnga 15.

$$-\frac{7}{15}-\frac{160}{15}$$

Tā te mea he rite te tauraro o -\frac{7}{15} me \frac{160}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-7-160}{15}$$

Tangohia te 160 i te -7, ka -167.

$$-\frac{167}{15}$$

Tauwehe

$$-\frac{167}{15} = -11\frac{2}{15} = -11.133333333333333$$