Whakaoti i te [3/4div(-5/2)]-[(31/2)(-23/5)]

$$[ \frac { 3 } { 4 } \div ( - \frac { 5 } { 2 } ) ] - [ ( 3 \frac { 1 } { 2 } ) ( - 2 \frac { 3 } { 5 } ) ]$$

Aromātai

$$\frac{44}{5}=8.8$$

Ngā Upane Otinga

Whakawehe \frac{3}{4} ki te -\frac{5}{2} mā te whakarea \frac{3}{4} ki te tau huripoki o -\frac{5}{2}.

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

Me whakarea te \frac{3}{4} ki te -\frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{3\left(-2\right)}{4\times 5}.

$$\frac{-6}{20}-\frac{3\times 2+1}{2}\left(-\frac{2\times 5+3}{5}\right)$$

Whakahekea te hautanga \frac{-6}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{3}{10}-\frac{3\times 2+1}{2}\left(-\frac{2\times 5+3}{5}\right)$$

Whakareatia te 3 ki te 2, ka 6.

$$-\frac{3}{10}-\frac{6+1}{2}\left(-\frac{2\times 5+3}{5}\right)$$

Tāpirihia te 6 ki te 1, ka 7.

$$-\frac{3}{10}-\frac{7}{2}\left(-\frac{2\times 5+3}{5}\right)$$

Whakareatia te 2 ki te 5, ka 10.

$$-\frac{3}{10}-\frac{7}{2}\left(-\frac{10+3}{5}\right)$$

Tāpirihia te 10 ki te 3, ka 13.

$$-\frac{3}{10}-\frac{7}{2}\left(-\frac{13}{5}\right)$$

Me whakarea te \frac{7}{2} ki te -\frac{13}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{3}{10}-\frac{7\left(-13\right)}{2\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\left(-13\right)}{2\times 5}.

$$-\frac{3}{10}-\frac{-91}{10}$$

Ka taea te hautanga \frac{-91}{10} te tuhi anō ko -\frac{91}{10} mā te tango i te tohu tōraro.

$$-\frac{3}{10}-\left(-\frac{91}{10}\right)$$

Ko te tauaro o -\frac{91}{10} ko \frac{91}{10}.

$$-\frac{3}{10}+\frac{91}{10}$$

Tā te mea he rite te tauraro o -\frac{3}{10} me \frac{91}{10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-3+91}{10}$$

Tāpirihia te -3 ki te 91, ka 88.

$$\frac{88}{10}$$

Whakahekea te hautanga \frac{88}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{44}{5}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 11}{5} = 8\frac{4}{5} = 8.8$$