Whakaoti i te 24/1left(6/9-75/10015/90right)-frac{45}{10}

$$\frac{ 24 }{ 1 } \left( \frac{ 6 }{ 9 } - \frac{ 75 }{ 100 } \frac{ 15 }{ 90 } \right) - \frac{ 45 }{ 10 }$$

Aromātai

$$\frac{17}{2}=8.5$$

Ngā Upane Otinga

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

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

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

$$24\left(\frac{2}{3}-\frac{75}{100}\times \frac{15}{90}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3}{4}\times \frac{15}{90}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3}{4}\times \frac{1}{6}\right)-\frac{45}{10}$$

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

$$24\left(\frac{2}{3}-\frac{3\times 1}{4\times 6}\right)-\frac{45}{10}$$

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

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

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

$$24\left(\frac{2}{3}-\frac{1}{8}\right)-\frac{45}{10}$$

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.

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

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.

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

Tangohia te 3 i te 16, ka 13.

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

Me whakakore te 24 me te 24.

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

Whakahekea te hautanga \frac{45}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$13-\frac{9}{2}$$

Me tahuri te 13 ki te hautau \frac{26}{2}.

$$\frac{26}{2}-\frac{9}{2}$$

Tā te mea he rite te tauraro o \frac{26}{2} me \frac{9}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{26-9}{2}$$

Tangohia te 9 i te 26, ka 17.

$$\frac{17}{2}$$

Tauwehe

$$\frac{17}{2} = 8\frac{1}{2} = 8.5$$