Whakaoti i te (-9/16)*(-31/3)+8/13div(-12/13)

$$( - \frac { 9 } { 16 } ) \times ( - 3 \frac { 1 } { 3 } ) + \frac { 8 } { 13 } \div ( - \frac { 12 } { 13 } )$$

Aromātai

$$\frac{29}{24}\approx 1.208333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 3, ka 9.

$$-\frac{9}{16}\left(-\frac{9+1}{3}\right)+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Tāpirihia te 9 ki te 1, ka 10.

$$-\frac{9}{16}\left(-\frac{10}{3}\right)+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Me whakarea te -\frac{9}{16} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-9\left(-10\right)}{16\times 3}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Mahia ngā whakarea i roto i te hautanga \frac{-9\left(-10\right)}{16\times 3}.

$$\frac{90}{48}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Whakahekea te hautanga \frac{90}{48} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{15}{8}+\frac{\frac{8}{13}}{-\frac{12}{13}}$$

Whakawehe \frac{8}{13} ki te -\frac{12}{13} mā te whakarea \frac{8}{13} ki te tau huripoki o -\frac{12}{13}.

$$\frac{15}{8}+\frac{8}{13}\left(-\frac{13}{12}\right)$$

Me whakarea te \frac{8}{13} ki te -\frac{13}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{15}{8}+\frac{8\left(-13\right)}{13\times 12}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\left(-13\right)}{13\times 12}.

$$\frac{15}{8}+\frac{-104}{156}$$

Whakahekea te hautanga \frac{-104}{156} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 52.

$$\frac{15}{8}-\frac{2}{3}$$

Ko te maha noa iti rawa atu o 8 me 3 ko 24. Me tahuri \frac{15}{8} me \frac{2}{3} ki te hautau me te tautūnga 24.

$$\frac{45}{24}-\frac{16}{24}$$

Tā te mea he rite te tauraro o \frac{45}{24} me \frac{16}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{45-16}{24}$$

Tangohia te 16 i te 45, ka 29.

$$\frac{29}{24}$$

Tauwehe

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$