Whakaoti i te -1/10-1/6+41/18-7+27/2+frac{12}{5}-8=

$$\frac { - 1 } { 10 } - \frac { 1 } { 6 } + \frac { 41 } { 18 } - 7 + \frac { 27 } { 2 } + \frac { 12 } { 5 } - 8 =$$

Aromātai

$$\frac{131}{45}\approx 2.911111111$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-1}{10} te tuhi anō ko -\frac{1}{10} mā te tango i te tohu tōraro.

$$-\frac{1}{10}-\frac{1}{6}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

Ko te maha noa iti rawa atu o 10 me 6 ko 30. Me tahuri -\frac{1}{10} me \frac{1}{6} ki te hautau me te tautūnga 30.

$$-\frac{3}{30}-\frac{5}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

Tā te mea he rite te tauraro o -\frac{3}{30} me \frac{5}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-3-5}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

Tangohia te 5 i te -3, ka -8.

$$\frac{-8}{30}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

Whakahekea te hautanga \frac{-8}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$-\frac{4}{15}+\frac{41}{18}-7+\frac{27}{2}+\frac{12}{5}-8$$

Ko te maha noa iti rawa atu o 15 me 18 ko 90. Me tahuri -\frac{4}{15} me \frac{41}{18} ki te hautau me te tautūnga 90.

$$-\frac{24}{90}+\frac{205}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

Tā te mea he rite te tauraro o -\frac{24}{90} me \frac{205}{90}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-24+205}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

Tāpirihia te -24 ki te 205, ka 181.

$$\frac{181}{90}-7+\frac{27}{2}+\frac{12}{5}-8$$

Me tahuri te 7 ki te hautau \frac{630}{90}.

$$\frac{181}{90}-\frac{630}{90}+\frac{27}{2}+\frac{12}{5}-8$$

Tā te mea he rite te tauraro o \frac{181}{90} me \frac{630}{90}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{181-630}{90}+\frac{27}{2}+\frac{12}{5}-8$$

Tangohia te 630 i te 181, ka -449.

$$-\frac{449}{90}+\frac{27}{2}+\frac{12}{5}-8$$

Ko te maha noa iti rawa atu o 90 me 2 ko 90. Me tahuri -\frac{449}{90} me \frac{27}{2} ki te hautau me te tautūnga 90.

$$-\frac{449}{90}+\frac{1215}{90}+\frac{12}{5}-8$$

Tā te mea he rite te tauraro o -\frac{449}{90} me \frac{1215}{90}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-449+1215}{90}+\frac{12}{5}-8$$

Tāpirihia te -449 ki te 1215, ka 766.

$$\frac{766}{90}+\frac{12}{5}-8$$

Whakahekea te hautanga \frac{766}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{383}{45}+\frac{12}{5}-8$$

Ko te maha noa iti rawa atu o 45 me 5 ko 45. Me tahuri \frac{383}{45} me \frac{12}{5} ki te hautau me te tautūnga 45.

$$\frac{383}{45}+\frac{108}{45}-8$$

Tā te mea he rite te tauraro o \frac{383}{45} me \frac{108}{45}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{383+108}{45}-8$$

Tāpirihia te 383 ki te 108, ka 491.

$$\frac{491}{45}-8$$

Me tahuri te 8 ki te hautau \frac{360}{45}.

$$\frac{491}{45}-\frac{360}{45}$$

Tā te mea he rite te tauraro o \frac{491}{45} me \frac{360}{45}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{491-360}{45}$$

Tangohia te 360 i te 491, ka 131.

$$\frac{131}{45}$$

Tauwehe

$$\frac{131}{3 ^ {2} \cdot 5} = 2\frac{41}{45} = 2.911111111111111$$