Whakaoti i te 15/9div21/3-(-3.25)*5/13

$$1 \frac { 5 } { 9 } \div 2 \frac { 1 } { 3 } - ( - 3.25 ) \times \frac { 5 } { 13 }$$

Aromātai

$$\frac{23}{12}\approx 1.916666667$$

Ngā Upane Otinga

Whakawehe \frac{1\times 9+5}{9} ki te \frac{2\times 3+1}{3} mā te whakarea \frac{1\times 9+5}{9} ki te tau huripoki o \frac{2\times 3+1}{3}.

$$\frac{\left(1\times 9+5\right)\times 3}{9\left(2\times 3+1\right)}-\left(-3.25\times \frac{5}{13}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{5+9}{3\left(1+2\times 3\right)}-\left(-3.25\times \frac{5}{13}\right)$$

Tāpirihia te 5 ki te 9, ka 14.

$$\frac{14}{3\left(1+2\times 3\right)}-\left(-3.25\times \frac{5}{13}\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{14}{3\left(1+6\right)}-\left(-3.25\times \frac{5}{13}\right)$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{14}{3\times 7}-\left(-3.25\times \frac{5}{13}\right)$$

Whakareatia te 3 ki te 7, ka 21.

$$\frac{14}{21}-\left(-3.25\times \frac{5}{13}\right)$$

Whakahekea te hautanga \frac{14}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{2}{3}-\left(-3.25\times \frac{5}{13}\right)$$

Me tahuri ki tau ā-ira -3.25 ki te hautau -\frac{325}{100}. Whakahekea te hautanga -\frac{325}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{2}{3}-\left(-\frac{13}{4}\times \frac{5}{13}\right)$$

Me whakarea te -\frac{13}{4} ki te \frac{5}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2}{3}-\frac{-13\times 5}{4\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{-13\times 5}{4\times 13}.

$$\frac{2}{3}-\frac{-65}{52}$$

Whakahekea te hautanga \frac{-65}{52} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 13.

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

Ko te tauaro o -\frac{5}{4} ko \frac{5}{4}.

$$\frac{2}{3}+\frac{5}{4}$$

Ko te maha noa iti rawa atu o 3 me 4 ko 12. Me tahuri \frac{2}{3} me \frac{5}{4} ki te hautau me te tautūnga 12.

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

Tā te mea he rite te tauraro o \frac{8}{12} me \frac{15}{12}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te 8 ki te 15, ka 23.

$$\frac{23}{12}$$

Tauwehe

$$\frac{23}{3 \cdot 2 ^ {2}} = 1\frac{11}{12} = 1.9166666666666667$$