Whakaoti i te 21/4*(-31/3)div13/7

$$2 \frac { 1 } { 4 } \times ( - 3 \frac { 1 } { 3 } ) \div 1 \frac { 3 } { 7 }$$

Aromātai

$$-\frac{21}{4}=-5.25$$

Ngā Upane Otinga

Whakareatia te 2 ki te 4, ka 8.

$$\frac{\frac{8+1}{4}\left(-\frac{3\times 3+1}{3}\right)}{\frac{1\times 7+3}{7}}$$

Tāpirihia te 8 ki te 1, ka 9.

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

Whakareatia te 3 ki te 3, ka 9.

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

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{\frac{9}{4}\left(-\frac{10}{3}\right)}{\frac{1\times 7+3}{7}}$$

Me whakarea te \frac{9}{4} ki te -\frac{10}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{9\left(-10\right)}{4\times 3}}{\frac{1\times 7+3}{7}}$$

Mahia ngā whakarea i roto i te hautanga \frac{9\left(-10\right)}{4\times 3}.

$$\frac{\frac{-90}{12}}{\frac{1\times 7+3}{7}}$$

Whakahekea te hautanga \frac{-90}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{-\frac{15}{2}}{\frac{1\times 7+3}{7}}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{-\frac{15}{2}}{\frac{7+3}{7}}$$

Tāpirihia te 7 ki te 3, ka 10.

$$\frac{-\frac{15}{2}}{\frac{10}{7}}$$

Whakawehe -\frac{15}{2} ki te \frac{10}{7} mā te whakarea -\frac{15}{2} ki te tau huripoki o \frac{10}{7}.

$$-\frac{15}{2}\times \frac{7}{10}$$

Me whakarea te -\frac{15}{2} ki te \frac{7}{10} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-15\times 7}{2\times 10}$$

Mahia ngā whakarea i roto i te hautanga \frac{-15\times 7}{2\times 10}.

$$\frac{-105}{20}$$

Whakahekea te hautanga \frac{-105}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{21}{4}$$

Tauwehe

$$-\frac{21}{4} = -5\frac{1}{4} = -5.25$$