Whakaoti i te 11/5div-23/5div9/13

$$\frac { 11 } { 5 } \div - 2 \frac { 3 } { 5 } \div \frac { 9 } { 13 }$$

Aromātai

$$-\frac{11}{9}\approx -1.222222222$$

Ngā Upane Otinga

Whakawehe \frac{\frac{11}{5}}{-\frac{2\times 5+3}{5}} ki te \frac{9}{13} mā te whakarea \frac{\frac{11}{5}}{-\frac{2\times 5+3}{5}} ki te tau huripoki o \frac{9}{13}.

$$\frac{\frac{11}{5}\times 13}{\left(-\frac{2\times 5+3}{5}\right)\times 9}$$

Tuhia te \frac{11}{5}\times 13 hei hautanga kotahi.

$$\frac{\frac{11\times 13}{5}}{\left(-\frac{2\times 5+3}{5}\right)\times 9}$$

Whakareatia te 11 ki te 13, ka 143.

$$\frac{\frac{143}{5}}{\left(-\frac{2\times 5+3}{5}\right)\times 9}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{\frac{143}{5}}{\left(-\frac{10+3}{5}\right)\times 9}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{\frac{143}{5}}{-\frac{13}{5}\times 9}$$

Tuhia te -\frac{13}{5}\times 9 hei hautanga kotahi.

$$\frac{\frac{143}{5}}{\frac{-13\times 9}{5}}$$

Whakareatia te -13 ki te 9, ka -117.

$$\frac{\frac{143}{5}}{\frac{-117}{5}}$$

Ka taea te hautanga \frac{-117}{5} te tuhi anō ko -\frac{117}{5} mā te tango i te tohu tōraro.

$$\frac{\frac{143}{5}}{-\frac{117}{5}}$$

Whakawehe \frac{143}{5} ki te -\frac{117}{5} mā te whakarea \frac{143}{5} ki te tau huripoki o -\frac{117}{5}.

$$\frac{143}{5}\left(-\frac{5}{117}\right)$$

Me whakarea te \frac{143}{5} ki te -\frac{5}{117} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{143\left(-5\right)}{5\times 117}$$

Mahia ngā whakarea i roto i te hautanga \frac{143\left(-5\right)}{5\times 117}.

$$\frac{-715}{585}$$

Whakahekea te hautanga \frac{-715}{585} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 65.

$$-\frac{11}{9}$$

Tauwehe

$$-\frac{11}{9} = -1\frac{2}{9} = -1.2222222222222223$$