Whakaoti i te 4.1*5/6+(4.1-34/15)div1.2

$$4.1 \times \frac{ 5 }{ 6 } +(4.1-3 \frac{ 4 }{ 15 } ) \div 1.2$$

Aromātai

$$\frac{37}{9}\approx 4.111111111$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira 4.1 ki te hautau \frac{41}{10}.

$$\frac{41}{10}\times \frac{5}{6}+\frac{4.1-\frac{3\times 15+4}{15}}{1.2}$$

Me whakarea te \frac{41}{10} ki te \frac{5}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{41\times 5}{10\times 6}+\frac{4.1-\frac{3\times 15+4}{15}}{1.2}$$

Mahia ngā whakarea i roto i te hautanga \frac{41\times 5}{10\times 6}.

$$\frac{205}{60}+\frac{4.1-\frac{3\times 15+4}{15}}{1.2}$$

Whakahekea te hautanga \frac{205}{60} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{41}{12}+\frac{4.1-\frac{3\times 15+4}{15}}{1.2}$$

Whakareatia te 3 ki te 15, ka 45.

$$\frac{41}{12}+\frac{4.1-\frac{45+4}{15}}{1.2}$$

Tāpirihia te 45 ki te 4, ka 49.

$$\frac{41}{12}+\frac{4.1-\frac{49}{15}}{1.2}$$

Me tahuri ki tau ā-ira 4.1 ki te hautau \frac{41}{10}.

$$\frac{41}{12}+\frac{\frac{41}{10}-\frac{49}{15}}{1.2}$$

Ko te maha noa iti rawa atu o 10 me 15 ko 30. Me tahuri \frac{41}{10} me \frac{49}{15} ki te hautau me te tautūnga 30.

$$\frac{41}{12}+\frac{\frac{123}{30}-\frac{98}{30}}{1.2}$$

Tā te mea he rite te tauraro o \frac{123}{30} me \frac{98}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{41}{12}+\frac{\frac{123-98}{30}}{1.2}$$

Tangohia te 98 i te 123, ka 25.

$$\frac{41}{12}+\frac{\frac{25}{30}}{1.2}$$

Whakahekea te hautanga \frac{25}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{41}{12}+\frac{\frac{5}{6}}{1.2}$$

Tuhia te \frac{\frac{5}{6}}{1.2} hei hautanga kotahi.

$$\frac{41}{12}+\frac{5}{6\times 1.2}$$

Whakareatia te 6 ki te 1.2, ka 7.2.

$$\frac{41}{12}+\frac{5}{7.2}$$

Whakarohaina te \frac{5}{7.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{41}{12}+\frac{50}{72}$$

Whakahekea te hautanga \frac{50}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{41}{12}+\frac{25}{36}$$

Ko te maha noa iti rawa atu o 12 me 36 ko 36. Me tahuri \frac{41}{12} me \frac{25}{36} ki te hautau me te tautūnga 36.

$$\frac{123}{36}+\frac{25}{36}$$

Tā te mea he rite te tauraro o \frac{123}{36} me \frac{25}{36}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{123+25}{36}$$

Tāpirihia te 123 ki te 25, ka 148.

$$\frac{148}{36}$$

Whakahekea te hautanga \frac{148}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{37}{9}$$

Tauwehe

$$\frac{37}{3 ^ {2}} = 4\frac{1}{9} = 4.111111111111111$$