Whakaoti i te 25/7+3/10-4(-69/70)

$$2 \frac { 5 } { 7 } + \frac { 3 } { 10 } - 4 ( \frac { - 69 } { 70 } )$$

Aromātai

$$\frac{487}{70}\approx 6.957142857$$

Ngā Upane Otinga

Whakareatia te 2 ki te 7, ka 14.

$$\frac{14+5}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

Tāpirihia te 14 ki te 5, ka 19.

$$\frac{19}{7}+\frac{3}{10}-4\times \frac{-69}{70}$$

Ko te maha noa iti rawa atu o 7 me 10 ko 70. Me tahuri \frac{19}{7} me \frac{3}{10} ki te hautau me te tautūnga 70.

$$\frac{190}{70}+\frac{21}{70}-4\times \frac{-69}{70}$$

Tā te mea he rite te tauraro o \frac{190}{70} me \frac{21}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{190+21}{70}-4\times \frac{-69}{70}$$

Tāpirihia te 190 ki te 21, ka 211.

$$\frac{211}{70}-4\times \frac{-69}{70}$$

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

$$\frac{211}{70}-4\left(-\frac{69}{70}\right)$$

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

$$\frac{211}{70}-\frac{4\left(-69\right)}{70}$$

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

$$\frac{211}{70}-\frac{-276}{70}$$

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

$$\frac{211}{70}-\left(-\frac{138}{35}\right)$$

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

$$\frac{211}{70}+\frac{138}{35}$$

Ko te maha noa iti rawa atu o 70 me 35 ko 70. Me tahuri \frac{211}{70} me \frac{138}{35} ki te hautau me te tautūnga 70.

$$\frac{211}{70}+\frac{276}{70}$$

Tā te mea he rite te tauraro o \frac{211}{70} me \frac{276}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{211+276}{70}$$

Tāpirihia te 211 ki te 276, ka 487.

$$\frac{487}{70}$$

Tauwehe

$$\frac{487}{2 \cdot 5 \cdot 7} = 6\frac{67}{70} = 6.957142857142857$$