Whakaoti i te 0.24div(-3/5)-37/16*214/25

$$0.24 \div ( - \frac { 3 } { 5 } ) - 3 \frac { 7 } { 16 } \times 2 \frac { 14 } { 25 }$$

Aromātai

$$-9.2$$

Ngā Upane Otinga

Whakawehe 0.24 ki te -\frac{3}{5} mā te whakarea 0.24 ki te tau huripoki o -\frac{3}{5}.

$$0.24\left(-\frac{5}{3}\right)-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Me tahuri ki tau ā-ira 0.24 ki te hautau \frac{24}{100}. Whakahekea te hautanga \frac{24}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{6}{25}\left(-\frac{5}{3}\right)-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Me whakarea te \frac{6}{25} ki te -\frac{5}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{6\left(-5\right)}{25\times 3}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Mahia ngā whakarea i roto i te hautanga \frac{6\left(-5\right)}{25\times 3}.

$$\frac{-30}{75}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Whakahekea te hautanga \frac{-30}{75} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$-\frac{2}{5}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Whakareatia te 3 ki te 16, ka 48.

$$-\frac{2}{5}-\frac{48+7}{16}\times \frac{2\times 25+14}{25}$$

Tāpirihia te 48 ki te 7, ka 55.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{2\times 25+14}{25}$$

Whakareatia te 2 ki te 25, ka 50.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{50+14}{25}$$

Tāpirihia te 50 ki te 14, ka 64.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{64}{25}$$

Me whakarea te \frac{55}{16} ki te \frac{64}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-\frac{2}{5}-\frac{55\times 64}{16\times 25}$$

Mahia ngā whakarea i roto i te hautanga \frac{55\times 64}{16\times 25}.

$$-\frac{2}{5}-\frac{3520}{400}$$

Whakahekea te hautanga \frac{3520}{400} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 80.

$$-\frac{2}{5}-\frac{44}{5}$$

Tā te mea he rite te tauraro o -\frac{2}{5} me \frac{44}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-2-44}{5}$$

Tangohia te 44 i te -2, ka -46.

$$-\frac{46}{5}$$

Tauwehe

$$-9.2$$