Whakaoti i te 24/10*(6/9-75/100*15/90)-frac{45}{10}

$$\frac { 24 } { 10 } \cdot ( \frac { 6 } { 9 } - \frac { 75 } { 100 } \cdot \frac { 15 } { 90 } ) - \frac { 45 } { 10 }$$

Aromātai

$$-\frac{16}{5}=-3.2$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{24}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{12}{5}\left(\frac{6}{9}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

Whakahekea te hautanga \frac{6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

Whakahekea te hautanga \frac{75}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{4}\times \frac{15}{90}\right)-\frac{45}{10}$$

Whakahekea te hautanga \frac{15}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{4}\times \frac{1}{6}\right)-\frac{45}{10}$$

Me whakarea te \frac{3}{4} ki te \frac{1}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3\times 1}{4\times 6}\right)-\frac{45}{10}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 1}{4\times 6}.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{3}{24}\right)-\frac{45}{10}$$

Whakahekea te hautanga \frac{3}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{12}{5}\left(\frac{2}{3}-\frac{1}{8}\right)-\frac{45}{10}$$

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{2}{3} me \frac{1}{8} ki te hautau me te tautūnga 24.

$$\frac{12}{5}\left(\frac{16}{24}-\frac{3}{24}\right)-\frac{45}{10}$$

Tā te mea he rite te tauraro o \frac{16}{24} me \frac{3}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{12}{5}\times \frac{16-3}{24}-\frac{45}{10}$$

Tangohia te 3 i te 16, ka 13.

$$\frac{12}{5}\times \frac{13}{24}-\frac{45}{10}$$

Me whakarea te \frac{12}{5} ki te \frac{13}{24} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{12\times 13}{5\times 24}-\frac{45}{10}$$

Mahia ngā whakarea i roto i te hautanga \frac{12\times 13}{5\times 24}.

$$\frac{156}{120}-\frac{45}{10}$$

Whakahekea te hautanga \frac{156}{120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{13}{10}-\frac{45}{10}$$

Tā te mea he rite te tauraro o \frac{13}{10} me \frac{45}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{13-45}{10}$$

Tangohia te 45 i te 13, ka -32.

$$\frac{-32}{10}$$

Whakahekea te hautanga \frac{-32}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{16}{5}$$

Tauwehe

$$-\frac{16}{5} = -3\frac{1}{5} = -3.2$$