Whakaoti i te 25/7+35/10-4(-69/70)

$$2 \frac { 5 } { 7 } + \frac { 35 } { 10 } - 4 ( \frac { - 69 } { 70 } )$$

Aromātai

$$\frac{711}{70}\approx 10.157142857$$

Ngā Upane Otinga

Whakareatia te 2 ki te 7, ka 14.

$$\frac{14+5}{7}+\frac{35}{10}-4\times \frac{-69}{70}$$

Tāpirihia te 14 ki te 5, ka 19.

$$\frac{19}{7}+\frac{35}{10}-4\times \frac{-69}{70}$$

Whakahekea te hautanga \frac{35}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{19}{7}+\frac{7}{2}-4\times \frac{-69}{70}$$

Ko te maha noa iti rawa atu o 7 me 2 ko 14. Me tahuri \frac{19}{7} me \frac{7}{2} ki te hautau me te tautūnga 14.

$$\frac{38}{14}+\frac{49}{14}-4\times \frac{-69}{70}$$

Tā te mea he rite te tauraro o \frac{38}{14} me \frac{49}{14}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{38+49}{14}-4\times \frac{-69}{70}$$

Tāpirihia te 38 ki te 49, ka 87.

$$\frac{87}{14}-4\times \frac{-69}{70}$$

Ka taea te hautanga \frac{-69}{70} te tuhi anō ko -\frac{69}{70} mā te tango i te tohu tōraro.

$$\frac{87}{14}-4\left(-\frac{69}{70}\right)$$

Tuhia te 4\left(-\frac{69}{70}\right) hei hautanga kotahi.

$$\frac{87}{14}-\frac{4\left(-69\right)}{70}$$

Whakareatia te 4 ki te -69, ka -276.

$$\frac{87}{14}-\frac{-276}{70}$$

Whakahekea te hautanga \frac{-276}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{87}{14}-\left(-\frac{138}{35}\right)$$

Ko te tauaro o -\frac{138}{35} ko \frac{138}{35}.

$$\frac{87}{14}+\frac{138}{35}$$

Ko te maha noa iti rawa atu o 14 me 35 ko 70. Me tahuri \frac{87}{14} me \frac{138}{35} ki te hautau me te tautūnga 70.

$$\frac{435}{70}+\frac{276}{70}$$

Tā te mea he rite te tauraro o \frac{435}{70} me \frac{276}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{435+276}{70}$$

Tāpirihia te 435 ki te 276, ka 711.

$$\frac{711}{70}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 79}{2 \cdot 5 \cdot 7} = 10\frac{11}{70} = 10.157142857142857$$