Whakaoti i te 7/4-2/2/frac{4{5}-3/2}

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

Aromātai

$$-\frac{15}{14}\approx -1.071428571$$

Ngā Upane Otinga

Whakawehea te 2 ki te 2, kia riro ko 1.

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

Me tahuri te 1 ki te hautau \frac{4}{4}.

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

Tā te mea he rite te tauraro o \frac{7}{4} me \frac{4}{4}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 4 i te 7, ka 3.

$$\frac{\frac{3}{4}}{\frac{4}{5}-\frac{3}{2}}$$

Ko te maha noa iti rawa atu o 5 me 2 ko 10. Me tahuri \frac{4}{5} me \frac{3}{2} ki te hautau me te tautūnga 10.

$$\frac{\frac{3}{4}}{\frac{8}{10}-\frac{15}{10}}$$

Tā te mea he rite te tauraro o \frac{8}{10} me \frac{15}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{3}{4}}{\frac{8-15}{10}}$$

Tangohia te 15 i te 8, ka -7.

$$\frac{\frac{3}{4}}{-\frac{7}{10}}$$

Whakawehe \frac{3}{4} ki te -\frac{7}{10} mā te whakarea \frac{3}{4} ki te tau huripoki o -\frac{7}{10}.

$$\frac{3}{4}\left(-\frac{10}{7}\right)$$

Me whakarea te \frac{3}{4} ki te -\frac{10}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\left(-10\right)}{4\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\left(-10\right)}{4\times 7}.

$$\frac{-30}{28}$$

Whakahekea te hautanga \frac{-30}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{15}{14}$$

Tauwehe

$$-\frac{15}{14} = -1\frac{1}{14} = -1.0714285714285714$$