Whakaoti i te left(3/7-1/21-11/3right)left(4+1/2right)

$$\left( \frac{ 3 }{ 7 } - \frac{ 1 }{ 21 } - \frac{ 11 }{ 3 } \right) \left( 4+ \frac{ 1 }{ 2 } \right)$$

Aromātai

$$-\frac{207}{14}\approx -14.785714286$$

Ngā Upane Otinga

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

$$\left(\frac{9}{21}-\frac{1}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

Tā te mea he rite te tauraro o \frac{9}{21} me \frac{1}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{9-1}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

Tangohia te 1 i te 9, ka 8.

$$\left(\frac{8}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

Ko te maha noa iti rawa atu o 21 me 3 ko 21. Me tahuri \frac{8}{21} me \frac{11}{3} ki te hautau me te tautūnga 21.

$$\left(\frac{8}{21}-\frac{77}{21}\right)\left(4+\frac{1}{2}\right)$$

Tā te mea he rite te tauraro o \frac{8}{21} me \frac{77}{21}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-77}{21}\left(4+\frac{1}{2}\right)$$

Tangohia te 77 i te 8, ka -69.

$$\frac{-69}{21}\left(4+\frac{1}{2}\right)$$

Whakahekea te hautanga \frac{-69}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$-\frac{23}{7}\left(4+\frac{1}{2}\right)$$

Me tahuri te 4 ki te hautau \frac{8}{2}.

$$-\frac{23}{7}\left(\frac{8}{2}+\frac{1}{2}\right)$$

Tā te mea he rite te tauraro o \frac{8}{2} me \frac{1}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{23}{7}\times \frac{8+1}{2}$$

Tāpirihia te 8 ki te 1, ka 9.

$$-\frac{23}{7}\times \frac{9}{2}$$

Me whakarea te -\frac{23}{7} ki te \frac{9}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-23\times 9}{7\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{-23\times 9}{7\times 2}.

$$\frac{-207}{14}$$

Ka taea te hautanga \frac{-207}{14} te tuhi anō ko -\frac{207}{14} mā te tango i te tohu tōraro.

$$-\frac{207}{14}$$

Tauwehe

$$-\frac{207}{14} = -14\frac{11}{14} = -14.785714285714286$$