Whakaoti i te 6.3+sqrt{169}*4/7:6-2=

$$6.3 + \sqrt { 169 } \times \frac { 4 } { 7 } : 6 - 2 =$$

Aromātai

$$\frac{1163}{210}\approx 5.538095238$$

Ngā Upane Otinga

Tātaitia te pūtakerua o 169 kia tae ki 13.

$$6.3+\frac{13\times \frac{4}{7}}{6}-2$$

Tuhia te 13\times \frac{4}{7} hei hautanga kotahi.

$$6.3+\frac{\frac{13\times 4}{7}}{6}-2$$

Whakareatia te 13 ki te 4, ka 52.

$$6.3+\frac{\frac{52}{7}}{6}-2$$

Tuhia te \frac{\frac{52}{7}}{6} hei hautanga kotahi.

$$6.3+\frac{52}{7\times 6}-2$$

Whakareatia te 7 ki te 6, ka 42.

$$6.3+\frac{52}{42}-2$$

Whakahekea te hautanga \frac{52}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$6.3+\frac{26}{21}-2$$

Me tahuri ki tau ā-ira 6.3 ki te hautau \frac{63}{10}.

$$\frac{63}{10}+\frac{26}{21}-2$$

Ko te maha noa iti rawa atu o 10 me 21 ko 210. Me tahuri \frac{63}{10} me \frac{26}{21} ki te hautau me te tautūnga 210.

$$\frac{1323}{210}+\frac{260}{210}-2$$

Tā te mea he rite te tauraro o \frac{1323}{210} me \frac{260}{210}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1323+260}{210}-2$$

Tāpirihia te 1323 ki te 260, ka 1583.

$$\frac{1583}{210}-2$$

Me tahuri te 2 ki te hautau \frac{420}{210}.

$$\frac{1583}{210}-\frac{420}{210}$$

Tā te mea he rite te tauraro o \frac{1583}{210} me \frac{420}{210}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1583-420}{210}$$

Tangohia te 420 i te 1583, ka 1163.

$$\frac{1163}{210}$$

Tauwehe

$$\frac{1163}{2 \cdot 3 \cdot 5 \cdot 7} = 5\frac{113}{210} = 5.538095238095238$$