Whakaoti i te 4/12+9/8*15/3-26/10

$$\frac{ 4 }{ 12 } + \frac{ 9 }{ 8 } \times \frac{15}{3} - \frac{26}{10}$$

Aromātai

$$\frac{403}{120}\approx 3.358333333$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{4}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{3}+\frac{9}{8}\times \frac{15}{3}-\frac{26}{10}$$

Whakawehea te 15 ki te 3, kia riro ko 5.

$$\frac{1}{3}+\frac{9}{8}\times 5-\frac{26}{10}$$

Tuhia te \frac{9}{8}\times 5 hei hautanga kotahi.

$$\frac{1}{3}+\frac{9\times 5}{8}-\frac{26}{10}$$

Whakareatia te 9 ki te 5, ka 45.

$$\frac{1}{3}+\frac{45}{8}-\frac{26}{10}$$

Ko te maha noa iti rawa atu o 3 me 8 ko 24. Me tahuri \frac{1}{3} me \frac{45}{8} ki te hautau me te tautūnga 24.

$$\frac{8}{24}+\frac{135}{24}-\frac{26}{10}$$

Tā te mea he rite te tauraro o \frac{8}{24} me \frac{135}{24}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+135}{24}-\frac{26}{10}$$

Tāpirihia te 8 ki te 135, ka 143.

$$\frac{143}{24}-\frac{26}{10}$$

Whakahekea te hautanga \frac{26}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{143}{24}-\frac{13}{5}$$

Ko te maha noa iti rawa atu o 24 me 5 ko 120. Me tahuri \frac{143}{24} me \frac{13}{5} ki te hautau me te tautūnga 120.

$$\frac{715}{120}-\frac{312}{120}$$

Tā te mea he rite te tauraro o \frac{715}{120} me \frac{312}{120}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{715-312}{120}$$

Tangohia te 312 i te 715, ka 403.

$$\frac{403}{120}$$

Tauwehe

$$\frac{13 \cdot 31}{2 ^ {3} \cdot 3 \cdot 5} = 3\frac{43}{120} = 3.3583333333333334$$