Whakaoti i te (52/5-1.8)div[(1.15+13/30)*12/3]

$$( 5 \frac { 2 } { 5 } - 1.8 ) \div [ ( 1.15 + \frac { 13 } { 30 } ) \times 1 \frac { 2 } { 3 } ]$$

Aromātai

$$\frac{648}{475}\approx 1.364210526$$

Ngā Upane Otinga

Whakareatia te 5 ki te 5, ka 25.

$$\frac{\frac{25+2}{5}-1.8}{\left(1.15+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Tāpirihia te 25 ki te 2, ka 27.

$$\frac{\frac{27}{5}-1.8}{\left(1.15+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Me tahuri ki tau ā-ira 1.8 ki te hautau \frac{18}{10}. Whakahekea te hautanga \frac{18}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{27}{5}-\frac{9}{5}}{\left(1.15+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Tā te mea he rite te tauraro o \frac{27}{5} me \frac{9}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{27-9}{5}}{\left(1.15+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Tangohia te 9 i te 27, ka 18.

$$\frac{\frac{18}{5}}{\left(1.15+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Me tahuri ki tau ā-ira 1.15 ki te hautau \frac{115}{100}. Whakahekea te hautanga \frac{115}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{18}{5}}{\left(\frac{23}{20}+\frac{13}{30}\right)\times \frac{1\times 3+2}{3}}$$

Ko te maha noa iti rawa atu o 20 me 30 ko 60. Me tahuri \frac{23}{20} me \frac{13}{30} ki te hautau me te tautūnga 60.

$$\frac{\frac{18}{5}}{\left(\frac{69}{60}+\frac{26}{60}\right)\times \frac{1\times 3+2}{3}}$$

Tā te mea he rite te tauraro o \frac{69}{60} me \frac{26}{60}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{18}{5}}{\frac{69+26}{60}\times \frac{1\times 3+2}{3}}$$

Tāpirihia te 69 ki te 26, ka 95.

$$\frac{\frac{18}{5}}{\frac{95}{60}\times \frac{1\times 3+2}{3}}$$

Whakahekea te hautanga \frac{95}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{18}{5}}{\frac{19}{12}\times \frac{1\times 3+2}{3}}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{\frac{18}{5}}{\frac{19}{12}\times \frac{3+2}{3}}$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{\frac{18}{5}}{\frac{19}{12}\times \frac{5}{3}}$$

Me whakarea te \frac{19}{12} ki te \frac{5}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{18}{5}}{\frac{19\times 5}{12\times 3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{19\times 5}{12\times 3}.

$$\frac{\frac{18}{5}}{\frac{95}{36}}$$

Whakawehe \frac{18}{5} ki te \frac{95}{36} mā te whakarea \frac{18}{5} ki te tau huripoki o \frac{95}{36}.

$$\frac{18}{5}\times \frac{36}{95}$$

Me whakarea te \frac{18}{5} ki te \frac{36}{95} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{18\times 36}{5\times 95}$$

Mahia ngā whakarea i roto i te hautanga \frac{18\times 36}{5\times 95}.

$$\frac{648}{475}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 3 ^ {4}}{19 \cdot 5 ^ {2}} = 1\frac{173}{475} = 1.3642105263157895$$