Whakaoti i te 1/4*(-31/3)div13/7

$$\frac { 1 } { 4 } \times ( - 3 \frac { 1 } { 3 } ) \div 1 \frac { 3 } { 7 }$$

Aromātai

$$-\frac{7}{12}\approx -0.583333333$$

Ngā Upane Otinga

Whakareatia te 3 ki te 3, ka 9.

$$\frac{\frac{1}{4}\left(-\frac{9+1}{3}\right)}{\frac{1\times 7+3}{7}}$$

Tāpirihia te 9 ki te 1, ka 10.

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

Me whakarea te \frac{1}{4} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-10\right)}{4\times 3}.

$$\frac{\frac{-10}{12}}{\frac{1\times 7+3}{7}}$$

Whakahekea te hautanga \frac{-10}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{-\frac{5}{6}}{\frac{1\times 7+3}{7}}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{-\frac{5}{6}}{\frac{7+3}{7}}$$

Tāpirihia te 7 ki te 3, ka 10.

$$\frac{-\frac{5}{6}}{\frac{10}{7}}$$

Whakawehe -\frac{5}{6} ki te \frac{10}{7} mā te whakarea -\frac{5}{6} ki te tau huripoki o \frac{10}{7}.

$$-\frac{5}{6}\times \frac{7}{10}$$

Me whakarea te -\frac{5}{6} ki te \frac{7}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-5\times 7}{6\times 10}$$

Mahia ngā whakarea i roto i te hautanga \frac{-5\times 7}{6\times 10}.

$$\frac{-35}{60}$$

Whakahekea te hautanga \frac{-35}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{7}{12}$$

Tauwehe

$$-\frac{7}{12} = -0.5833333333333334$$