Whakaoti i te 41*5/6+(41-34/15)div12

$$41 \times \frac{ 5 }{ 6 } +(41-3 \frac{ 4 }{ 15 } ) \div 12$$

Aromātai

$$\frac{1679}{45}\approx 37.311111111$$

Ngā Upane Otinga

Tuhia te 41\times \frac{5}{6} hei hautanga kotahi.

$$\frac{41\times 5}{6}+\frac{41-\frac{3\times 15+4}{15}}{12}$$

Whakareatia te 41 ki te 5, ka 205.

$$\frac{205}{6}+\frac{41-\frac{3\times 15+4}{15}}{12}$$

Whakareatia te 3 ki te 15, ka 45.

$$\frac{205}{6}+\frac{41-\frac{45+4}{15}}{12}$$

Tāpirihia te 45 ki te 4, ka 49.

$$\frac{205}{6}+\frac{41-\frac{49}{15}}{12}$$

Me tahuri te 41 ki te hautau \frac{615}{15}.

$$\frac{205}{6}+\frac{\frac{615}{15}-\frac{49}{15}}{12}$$

Tā te mea he rite te tauraro o \frac{615}{15} me \frac{49}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{205}{6}+\frac{\frac{615-49}{15}}{12}$$

Tangohia te 49 i te 615, ka 566.

$$\frac{205}{6}+\frac{\frac{566}{15}}{12}$$

Tuhia te \frac{\frac{566}{15}}{12} hei hautanga kotahi.

$$\frac{205}{6}+\frac{566}{15\times 12}$$

Whakareatia te 15 ki te 12, ka 180.

$$\frac{205}{6}+\frac{566}{180}$$

Whakahekea te hautanga \frac{566}{180} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{205}{6}+\frac{283}{90}$$

Ko te maha noa iti rawa atu o 6 me 90 ko 90. Me tahuri \frac{205}{6} me \frac{283}{90} ki te hautau me te tautūnga 90.

$$\frac{3075}{90}+\frac{283}{90}$$

Tā te mea he rite te tauraro o \frac{3075}{90} me \frac{283}{90}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3075+283}{90}$$

Tāpirihia te 3075 ki te 283, ka 3358.

$$\frac{3358}{90}$$

Whakahekea te hautanga \frac{3358}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1679}{45}$$

Tauwehe

$$\frac{23 \cdot 73}{3 ^ {2} \cdot 5} = 37\frac{14}{45} = 37.31111111111111$$