Whakaoti i te 1/2+1/4div1/3+(5/2)^2-sqrt{frac{81}{25}}

$$\frac { 1 } { 2 } + \frac { 1 } { 4 } \div \frac { 1 } { 3 } + ( \frac { 5 } { 2 } ) ^ { 2 } - \sqrt { \frac { 81 } { 25 } }$$

Aromātai

$$\frac{57}{10}=5.7$$

Ngā Upane Otinga

Whakawehe \frac{1}{4} ki te \frac{1}{3} mā te whakarea \frac{1}{4} ki te tau huripoki o \frac{1}{3}.

$$\frac{1}{2}+\frac{1}{4}\times 3+\left(\frac{5}{2}\right)^{2}-\sqrt{\frac{81}{25}}$$

Whakareatia te \frac{1}{4} ki te 3, ka \frac{3}{4}.

$$\frac{1}{2}+\frac{3}{4}+\left(\frac{5}{2}\right)^{2}-\sqrt{\frac{81}{25}}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{1}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$\frac{2}{4}+\frac{3}{4}+\left(\frac{5}{2}\right)^{2}-\sqrt{\frac{81}{25}}$$

Tā te mea he rite te tauraro o \frac{2}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2+3}{4}+\left(\frac{5}{2}\right)^{2}-\sqrt{\frac{81}{25}}$$

Tāpirihia te 2 ki te 3, ka 5.

$$\frac{5}{4}+\left(\frac{5}{2}\right)^{2}-\sqrt{\frac{81}{25}}$$

Tātaihia te \frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.

$$\frac{5}{4}+\frac{25}{4}-\sqrt{\frac{81}{25}}$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{25}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5+25}{4}-\sqrt{\frac{81}{25}}$$

Tāpirihia te 5 ki te 25, ka 30.

$$\frac{30}{4}-\sqrt{\frac{81}{25}}$$

Whakahekea te hautanga \frac{30}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{15}{2}-\sqrt{\frac{81}{25}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{81}{25} hei whakawehenga o ngā pūtake rua \frac{\sqrt{81}}{\sqrt{25}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{15}{2}-\frac{9}{5}$$

Ko te maha noa iti rawa atu o 2 me 5 ko 10. Me tahuri \frac{15}{2} me \frac{9}{5} ki te hautau me te tautūnga 10.

$$\frac{75}{10}-\frac{18}{10}$$

Tā te mea he rite te tauraro o \frac{75}{10} me \frac{18}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{75-18}{10}$$

Tangohia te 18 i te 75, ka 57.

$$\frac{57}{10}$$

Tauwehe

$$\frac{3 \cdot 19}{2 \cdot 5} = 5\frac{7}{10} = 5.7$$