Whakaoti i te left(43/8+12/7-25/14110/11right)-1frac{1}{3}

$$\left( 4 \frac{ 3 }{ 8 } +1 \frac{ 2 }{ 7 } -2 \frac{ 5 }{ 14 } 1 \frac{ 10 }{ 11 } \right) -1 \frac{ 1 }{ 3 }$$

Aromātai

$$-\frac{29}{168}\approx -0.172619048$$

Ngā Upane Otinga

Whakareatia te 4 ki te 8, ka 32.

$$\frac{32+3}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Tāpirihia te 32 ki te 3, ka 35.

$$\frac{35}{8}+\frac{1\times 7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{35}{8}+\frac{7+2}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Tāpirihia te 7 ki te 2, ka 9.

$$\frac{35}{8}+\frac{9}{7}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 8 me 7 ko 56. Me tahuri \frac{35}{8} me \frac{9}{7} ki te hautau me te tautūnga 56.

$$\frac{245}{56}+\frac{72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{245}{56} me \frac{72}{56}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{245+72}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Tāpirihia te 245 ki te 72, ka 317.

$$\frac{317}{56}-\frac{2\times 14+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Whakareatia te 2 ki te 14, ka 28.

$$\frac{317}{56}-\frac{28+5}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Tāpirihia te 28 ki te 5, ka 33.

$$\frac{317}{56}-\frac{33}{14}\times \frac{1\times 11+10}{11}-\frac{1\times 3+1}{3}$$

Whakareatia te 1 ki te 11, ka 11.

$$\frac{317}{56}-\frac{33}{14}\times \frac{11+10}{11}-\frac{1\times 3+1}{3}$$

Tāpirihia te 11 ki te 10, ka 21.

$$\frac{317}{56}-\frac{33}{14}\times \frac{21}{11}-\frac{1\times 3+1}{3}$$

Me whakarea te \frac{33}{14} ki te \frac{21}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{317}{56}-\frac{33\times 21}{14\times 11}-\frac{1\times 3+1}{3}$$

Mahia ngā whakarea i roto i te hautanga \frac{33\times 21}{14\times 11}.

$$\frac{317}{56}-\frac{693}{154}-\frac{1\times 3+1}{3}$$

Whakahekea te hautanga \frac{693}{154} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 77.

$$\frac{317}{56}-\frac{9}{2}-\frac{1\times 3+1}{3}$$

Ko te maha noa iti rawa atu o 56 me 2 ko 56. Me tahuri \frac{317}{56} me \frac{9}{2} ki te hautau me te tautūnga 56.

$$\frac{317}{56}-\frac{252}{56}-\frac{1\times 3+1}{3}$$

Tā te mea he rite te tauraro o \frac{317}{56} me \frac{252}{56}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{317-252}{56}-\frac{1\times 3+1}{3}$$

Tangohia te 252 i te 317, ka 65.

$$\frac{65}{56}-\frac{1\times 3+1}{3}$$

Whakareatia te 1 ki te 3, ka 3.

$$\frac{65}{56}-\frac{3+1}{3}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{65}{56}-\frac{4}{3}$$

Ko te maha noa iti rawa atu o 56 me 3 ko 168. Me tahuri \frac{65}{56} me \frac{4}{3} ki te hautau me te tautūnga 168.

$$\frac{195}{168}-\frac{224}{168}$$

Tā te mea he rite te tauraro o \frac{195}{168} me \frac{224}{168}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{195-224}{168}$$

Tangohia te 224 i te 195, ka -29.

$$-\frac{29}{168}$$

Tauwehe

$$-\frac{29}{168} = -0.17261904761904762$$