Whakaoti i te |11/15div-2*3/5div9/13

$$| \frac { 11 } { 15 } \div - 2 \cdot \frac { 3 } { 5 } \div \frac { 9 } { 13 }$$

Aromātai

$$\frac{143}{450}\approx 0.317777778$$

Ngā Upane Otinga

Tuhia te \frac{\frac{11}{15}}{-2} hei hautanga kotahi.

$$|\frac{\frac{11}{15\left(-2\right)}\times \frac{3}{5}}{\frac{9}{13}}|$$

Whakareatia te 15 ki te -2, ka -30.

$$|\frac{\frac{11}{-30}\times \frac{3}{5}}{\frac{9}{13}}|$$

Ka taea te hautanga \frac{11}{-30} te tuhi anō ko -\frac{11}{30} mā te tango i te tohu tōraro.

$$|\frac{-\frac{11}{30}\times \frac{3}{5}}{\frac{9}{13}}|$$

Me whakarea te -\frac{11}{30} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$|\frac{\frac{-11\times 3}{30\times 5}}{\frac{9}{13}}|$$

Mahia ngā whakarea i roto i te hautanga \frac{-11\times 3}{30\times 5}.

$$|\frac{\frac{-33}{150}}{\frac{9}{13}}|$$

Whakahekea te hautanga \frac{-33}{150} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$|\frac{-\frac{11}{50}}{\frac{9}{13}}|$$

Whakawehe -\frac{11}{50} ki te \frac{9}{13} mā te whakarea -\frac{11}{50} ki te tau huripoki o \frac{9}{13}.

$$|-\frac{11}{50}\times \frac{13}{9}|$$

Me whakarea te -\frac{11}{50} ki te \frac{13}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$|\frac{-11\times 13}{50\times 9}|$$

Mahia ngā whakarea i roto i te hautanga \frac{-11\times 13}{50\times 9}.

$$|\frac{-143}{450}|$$

Ka taea te hautanga \frac{-143}{450} te tuhi anō ko -\frac{143}{450} mā te tango i te tohu tōraro.

$$|-\frac{143}{450}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{143}{450} ko \frac{143}{450}.

$$\frac{143}{450}$$

Tauwehe

$$\frac{11 \cdot 13}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0.31777777777777777$$