Whakaoti i te 9/frac{7{2}}-5/7-2/1-frac{4{7}}

$$\frac { 9 } { \frac { 7 } { 2 } } - \frac { \frac { 5 } { 7 } - 2 } { 1 - \frac { 4 } { 7 } }$$

Aromātai

$$\frac{39}{7}\approx 5.571428571$$

Ngā Upane Otinga

Whakawehe 9 ki te \frac{7}{2} mā te whakarea 9 ki te tau huripoki o \frac{7}{2}.

$$9\times \frac{2}{7}-\frac{\frac{5}{7}-2}{1-\frac{4}{7}}$$

Tuhia te 9\times \frac{2}{7} hei hautanga kotahi.

$$\frac{9\times 2}{7}-\frac{\frac{5}{7}-2}{1-\frac{4}{7}}$$

Whakareatia te 9 ki te 2, ka 18.

$$\frac{18}{7}-\frac{\frac{5}{7}-2}{1-\frac{4}{7}}$$

Me tahuri te 2 ki te hautau \frac{14}{7}.

$$\frac{18}{7}-\frac{\frac{5}{7}-\frac{14}{7}}{1-\frac{4}{7}}$$

Tā te mea he rite te tauraro o \frac{5}{7} me \frac{14}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{18}{7}-\frac{\frac{5-14}{7}}{1-\frac{4}{7}}$$

Tangohia te 14 i te 5, ka -9.

$$\frac{18}{7}-\frac{-\frac{9}{7}}{1-\frac{4}{7}}$$

Me tahuri te 1 ki te hautau \frac{7}{7}.

$$\frac{18}{7}-\frac{-\frac{9}{7}}{\frac{7}{7}-\frac{4}{7}}$$

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

$$\frac{18}{7}-\frac{-\frac{9}{7}}{\frac{7-4}{7}}$$

Tangohia te 4 i te 7, ka 3.

$$\frac{18}{7}-\frac{-\frac{9}{7}}{\frac{3}{7}}$$

Whakawehe -\frac{9}{7} ki te \frac{3}{7} mā te whakarea -\frac{9}{7} ki te tau huripoki o \frac{3}{7}.

$$\frac{18}{7}-\left(-\frac{9}{7}\times \frac{7}{3}\right)$$

Me whakarea te -\frac{9}{7} ki te \frac{7}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{18}{7}-\frac{-9\times 7}{7\times 3}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{18}{7}-\frac{-9}{3}$$

Whakawehea te -9 ki te 3, kia riro ko -3.

$$\frac{18}{7}-\left(-3\right)$$

Ko te tauaro o -3 ko 3.

$$\frac{18}{7}+3$$

Me tahuri te 3 ki te hautau \frac{21}{7}.

$$\frac{18}{7}+\frac{21}{7}$$

Tā te mea he rite te tauraro o \frac{18}{7} me \frac{21}{7}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{18+21}{7}$$

Tāpirihia te 18 ki te 21, ka 39.

$$\frac{39}{7}$$

Tauwehe

$$\frac{3 \cdot 13}{7} = 5\frac{4}{7} = 5.571428571428571$$