Whakaoti i te {[(1/7-7/3)*1/5]-4/3}

$$\{ [ ( \frac { 1 } { 7 } - \frac { 7 } { 3 } ) * \frac { 1 } { 5 } ] - \frac { 4 } { 3 } \}$$

Aromātai

$$-\frac{62}{35}\approx -1.771428571$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 7 me 3 ko 21. Me tahuri \frac{1}{7} me \frac{7}{3} ki te hautau me te tautūnga 21.

$$\left(\frac{3}{21}-\frac{49}{21}\right)\times \frac{1}{5}-\frac{4}{3}$$

Tā te mea he rite te tauraro o \frac{3}{21} me \frac{49}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-49}{21}\times \frac{1}{5}-\frac{4}{3}$$

Tangohia te 49 i te 3, ka -46.

$$-\frac{46}{21}\times \frac{1}{5}-\frac{4}{3}$$

Me whakarea te -\frac{46}{21} ki te \frac{1}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-46}{21\times 5}-\frac{4}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{-46}{21\times 5}.

$$\frac{-46}{105}-\frac{4}{3}$$

Ka taea te hautanga \frac{-46}{105} te tuhi anō ko -\frac{46}{105} mā te tango i te tohu tōraro.

$$-\frac{46}{105}-\frac{4}{3}$$

Ko te maha noa iti rawa atu o 105 me 3 ko 105. Me tahuri -\frac{46}{105} me \frac{4}{3} ki te hautau me te tautūnga 105.

$$-\frac{46}{105}-\frac{140}{105}$$

Tā te mea he rite te tauraro o -\frac{46}{105} me \frac{140}{105}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-46-140}{105}$$

Tangohia te 140 i te -46, ka -186.

$$\frac{-186}{105}$$

Whakahekea te hautanga \frac{-186}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{62}{35}$$

Tauwehe

$$-\frac{62}{35} = -1\frac{27}{35} = -1.7714285714285714$$