Whakaoti i te 51/3div(-31/3)div2/7

$$5 \frac { 1 } { 3 } \div ( - 3 \frac { 1 } { 3 } ) \div \frac { 2 } { 7 }$$

Aromātai

$$-\frac{28}{5}=-5.6$$

Ngā Upane Otinga

Whakawehe \frac{\frac{5\times 3+1}{3}}{-\frac{3\times 3+1}{3}} ki te \frac{2}{7} mā te whakarea \frac{\frac{5\times 3+1}{3}}{-\frac{3\times 3+1}{3}} ki te tau huripoki o \frac{2}{7}.

$$\frac{\frac{5\times 3+1}{3}\times 7}{\left(-\frac{3\times 3+1}{3}\right)\times 2}$$

Whakareatia te 5 ki te 3, ka 15.

$$\frac{\frac{15+1}{3}\times 7}{\left(-\frac{3\times 3+1}{3}\right)\times 2}$$

Tāpirihia te 15 ki te 1, ka 16.

$$\frac{\frac{16}{3}\times 7}{\left(-\frac{3\times 3+1}{3}\right)\times 2}$$

Tuhia te \frac{16}{3}\times 7 hei hautanga kotahi.

$$\frac{\frac{16\times 7}{3}}{\left(-\frac{3\times 3+1}{3}\right)\times 2}$$

Whakareatia te 16 ki te 7, ka 112.

$$\frac{\frac{112}{3}}{\left(-\frac{3\times 3+1}{3}\right)\times 2}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{\frac{112}{3}}{\left(-\frac{9+1}{3}\right)\times 2}$$

Tāpirihia te 9 ki te 1, ka 10.

$$\frac{\frac{112}{3}}{-\frac{10}{3}\times 2}$$

Tuhia te -\frac{10}{3}\times 2 hei hautanga kotahi.

$$\frac{\frac{112}{3}}{\frac{-10\times 2}{3}}$$

Whakareatia te -10 ki te 2, ka -20.

$$\frac{\frac{112}{3}}{\frac{-20}{3}}$$

Ka taea te hautanga \frac{-20}{3} te tuhi anō ko -\frac{20}{3} mā te tango i te tohu tōraro.

$$\frac{\frac{112}{3}}{-\frac{20}{3}}$$

Whakawehe \frac{112}{3} ki te -\frac{20}{3} mā te whakarea \frac{112}{3} ki te tau huripoki o -\frac{20}{3}.

$$\frac{112}{3}\left(-\frac{3}{20}\right)$$

Me whakarea te \frac{112}{3} ki te -\frac{3}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{112\left(-3\right)}{3\times 20}$$

Mahia ngā whakarea i roto i te hautanga \frac{112\left(-3\right)}{3\times 20}.

$$\frac{-336}{60}$$

Whakahekea te hautanga \frac{-336}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$-\frac{28}{5}$$

Tauwehe

$$-\frac{28}{5} = -5\frac{3}{5} = -5.6$$