Whakaoti i te 2*(3/8)^2-3/2*3/8+7/10

$$2 \times ( \frac { 3 } { 8 } ) ^ { 2 } - \frac { 3 } { 2 } \times \frac { 3 } { 8 } + \frac { 7 } { 10 }$$

Aromātai

$$\frac{67}{160}=0.41875$$

Ngā Upane Otinga

Tātaihia te \frac{3}{8} mā te pū o 2, kia riro ko \frac{9}{64}.

$$2\times \frac{9}{64}-\frac{3}{2}\times \frac{3}{8}+\frac{7}{10}$$

Tuhia te 2\times \frac{9}{64} hei hautanga kotahi.

$$\frac{2\times 9}{64}-\frac{3}{2}\times \frac{3}{8}+\frac{7}{10}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{18}{64}-\frac{3}{2}\times \frac{3}{8}+\frac{7}{10}$$

Whakahekea te hautanga \frac{18}{64} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{9}{32}-\frac{3}{2}\times \frac{3}{8}+\frac{7}{10}$$

Me whakarea te \frac{3}{2} ki te \frac{3}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9}{32}-\frac{3\times 3}{2\times 8}+\frac{7}{10}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 3}{2\times 8}.

$$\frac{9}{32}-\frac{9}{16}+\frac{7}{10}$$

Ko te maha noa iti rawa atu o 32 me 16 ko 32. Me tahuri \frac{9}{32} me \frac{9}{16} ki te hautau me te tautūnga 32.

$$\frac{9}{32}-\frac{18}{32}+\frac{7}{10}$$

Tā te mea he rite te tauraro o \frac{9}{32} me \frac{18}{32}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{9-18}{32}+\frac{7}{10}$$

Tangohia te 18 i te 9, ka -9.

$$-\frac{9}{32}+\frac{7}{10}$$

Ko te maha noa iti rawa atu o 32 me 10 ko 160. Me tahuri -\frac{9}{32} me \frac{7}{10} ki te hautau me te tautūnga 160.

$$-\frac{45}{160}+\frac{112}{160}$$

Tā te mea he rite te tauraro o -\frac{45}{160} me \frac{112}{160}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-45+112}{160}$$

Tāpirihia te -45 ki te 112, ka 67.

$$\frac{67}{160}$$

Tauwehe

$$\frac{67}{2 ^ {5} \cdot 5} = 0.41875$$