Whakaoti i te (1/2)^3+(1/3)^2-(5/6)

$$( \frac { 1 } { 2 } ) ^ { 3 } + ( \frac { 1 } { 3 } ) ^ { 2 } - ( \frac { 5 } { 6 } )$$

Aromātai

$$-\frac{43}{72}\approx -0.597222222$$

Ngā Upane Otinga

Tātaihia te \frac{1}{2} mā te pū o 3, kia riro ko \frac{1}{8}.

$$\frac{1}{8}+\left(\frac{1}{3}\right)^{2}-\frac{5}{6}$$

Tātaihia te \frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$\frac{1}{8}+\frac{1}{9}-\frac{5}{6}$$

Ko te maha noa iti rawa atu o 8 me 9 ko 72. Me tahuri \frac{1}{8} me \frac{1}{9} ki te hautau me te tautūnga 72.

$$\frac{9}{72}+\frac{8}{72}-\frac{5}{6}$$

Tā te mea he rite te tauraro o \frac{9}{72} me \frac{8}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{9+8}{72}-\frac{5}{6}$$

Tāpirihia te 9 ki te 8, ka 17.

$$\frac{17}{72}-\frac{5}{6}$$

Ko te maha noa iti rawa atu o 72 me 6 ko 72. Me tahuri \frac{17}{72} me \frac{5}{6} ki te hautau me te tautūnga 72.

$$\frac{17}{72}-\frac{60}{72}$$

Tā te mea he rite te tauraro o \frac{17}{72} me \frac{60}{72}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{17-60}{72}$$

Tangohia te 60 i te 17, ka -43.

$$-\frac{43}{72}$$

Tauwehe

$$-\frac{43}{72} = -0.5972222222222222$$