Whakaoti i te K=10850/frac{1{2}+1/3+1/5}

$$K = \frac { 10850 } { \frac { 1 } { 2 } + \frac { 1 } { 3 } + \frac { 1 } { 5 } }$$

Whakaoti mō K

$$K=10500$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$K=\frac{10850}{\frac{3}{6}+\frac{2}{6}+\frac{1}{5}}$$

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

$$K=\frac{10850}{\frac{3+2}{6}+\frac{1}{5}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$K=\frac{10850}{\frac{5}{6}+\frac{1}{5}}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{5}{6} me \frac{1}{5} ki te hautau me te tautūnga 30.

$$K=\frac{10850}{\frac{25}{30}+\frac{6}{30}}$$

Tā te mea he rite te tauraro o \frac{25}{30} me \frac{6}{30}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$K=\frac{10850}{\frac{25+6}{30}}$$

Tāpirihia te 25 ki te 6, ka 31.

$$K=\frac{10850}{\frac{31}{30}}$$

Whakawehe 10850 ki te \frac{31}{30} mā te whakarea 10850 ki te tau huripoki o \frac{31}{30}.

$$K=10850\times \frac{30}{31}$$

Tuhia te 10850\times \frac{30}{31} hei hautanga kotahi.

$$K=\frac{10850\times 30}{31}$$

Whakareatia te 10850 ki te 30, ka 325500.

$$K=\frac{325500}{31}$$

Whakawehea te 325500 ki te 31, kia riro ko 10500.

$$K=10500$$

Tautapa K

$$K≔10500$$