Whakaoti i te 2/7*(-5/12)-5/7*5/12+(-frac{5}{3})*(-frac{1}{4})

$$\frac { 2 } { 7 } \times ( - \frac { 5 } { 12 } ) - \frac { 5 } { 7 } \times \frac { 5 } { 12 } + ( - \frac { 5 } { 3 } ) \cdot ( - \frac { 1 } { 4 } )$$

Aromātai

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Ngā Upane Otinga

Me whakarea te \frac{2}{7} ki te -\frac{5}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\left(-5\right)}{7\times 12}-\frac{5}{7}\times \frac{5}{12}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{2\left(-5\right)}{7\times 12}.

$$\frac{-10}{84}-\frac{5}{7}\times \frac{5}{12}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{-10}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{5}{42}-\frac{5}{7}\times \frac{5}{12}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Me whakarea te \frac{5}{7} ki te \frac{5}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{42}-\frac{5\times 5}{7\times 12}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 5}{7\times 12}.

$$-\frac{5}{42}-\frac{25}{84}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Ko te maha noa iti rawa atu o 42 me 84 ko 84. Me tahuri -\frac{5}{42} me \frac{25}{84} ki te hautau me te tautūnga 84.

$$-\frac{10}{84}-\frac{25}{84}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Tā te mea he rite te tauraro o -\frac{10}{84} me \frac{25}{84}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-10-25}{84}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Tangohia te 25 i te -10, ka -35.

$$\frac{-35}{84}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Whakahekea te hautanga \frac{-35}{84} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$-\frac{5}{12}-\frac{5}{3}\left(-\frac{1}{4}\right)$$

Me whakarea te -\frac{5}{3} ki te -\frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{5}{12}+\frac{-5\left(-1\right)}{3\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\left(-1\right)}{3\times 4}.

$$-\frac{5}{12}+\frac{5}{12}$$

Tāpirihia te -\frac{5}{12} ki te \frac{5}{12}, ka 0.

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Tauwehe

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