Whakaoti i te {2-[(1+4/3):(14/8*2)]}:{[(2^3-3/5)-(13/2-frac{3}{4})]:[(frac{3}{2}):frac{1}{2}-frac{17}{5}]}

$$\{ 2 - [ ( 1 + \frac { 4 } { 3 } ) : ( \frac { 14 } { 8 } \cdot 2 ) ] \} : \{ [ ( 2 ^ { 3 } - \frac { 3 } { 5 } ) - ( \frac { 13 } { 2 } - \frac { 3 } { 4 } ) ] : [ ( \frac { 3 } { 2 } ) : \frac { 1 } { 2 } - \frac { 17 } { 5 } ] \}$$

Aromātai

$$-\frac{32}{99}\approx -0.323232323$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{2-\frac{\frac{3}{3}+\frac{4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{4}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2-\frac{\frac{3+4}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tāpirihia te 3 ki te 4, ka 7.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{8}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Whakahekea te hautanga \frac{14}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{4}\times 2}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tuhia te \frac{7}{4}\times 2 hei hautanga kotahi.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7\times 2}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{2-\frac{\frac{7}{3}}{\frac{14}{4}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Whakahekea te hautanga \frac{14}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{2-\frac{\frac{7}{3}}{\frac{7}{2}}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Whakawehe \frac{7}{3} ki te \frac{7}{2} mā te whakarea \frac{7}{3} ki te tau huripoki o \frac{7}{2}.

$$\frac{2-\frac{7}{3}\times \frac{2}{7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Me whakarea te \frac{7}{3} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2-\frac{7\times 2}{3\times 7}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Me whakakore tahi te 7 i te taurunga me te tauraro.

$$\frac{2-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Me tahuri te 2 ki te hautau \frac{6}{3}.

$$\frac{\frac{6}{3}-\frac{2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{6}{3} me \frac{2}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{6-2}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tangohia te 2 i te 6, ka 4.

$$\frac{\frac{4}{3}}{\frac{2^{3}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{\frac{4}{3}}{\frac{8-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Me tahuri te 8 ki te hautau \frac{40}{5}.

$$\frac{\frac{4}{3}}{\frac{\frac{40}{5}-\frac{3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{40}{5} me \frac{3}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4}{3}}{\frac{\frac{40-3}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tangohia te 3 i te 40, ka 37.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{13}{2}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Ko te maha noa iti rawa atu o 2 me 4 ko 4. Me tahuri \frac{13}{2} me \frac{3}{4} ki te hautau me te tautūnga 4.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\left(\frac{26}{4}-\frac{3}{4}\right)}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{26}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{26-3}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tangohia te 3 i te 26, ka 23.

$$\frac{\frac{4}{3}}{\frac{\frac{37}{5}-\frac{23}{4}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Ko te maha noa iti rawa atu o 5 me 4 ko 20. Me tahuri \frac{37}{5} me \frac{23}{4} ki te hautau me te tautūnga 20.

$$\frac{\frac{4}{3}}{\frac{\frac{148}{20}-\frac{115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{148}{20} me \frac{115}{20}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4}{3}}{\frac{\frac{148-115}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Tangohia te 115 i te 148, ka 33.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{\frac{3}{2}}{\frac{1}{2}}-\frac{17}{5}}}$$

Whakawehe \frac{3}{2} ki te \frac{1}{2} mā te whakarea \frac{3}{2} ki te tau huripoki o \frac{1}{2}.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{3}{2}\times 2-\frac{17}{5}}}$$

Me whakakore te 2 me te 2.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{3-\frac{17}{5}}}$$

Me tahuri te 3 ki te hautau \frac{15}{5}.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15}{5}-\frac{17}{5}}}$$

Tā te mea he rite te tauraro o \frac{15}{5} me \frac{17}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{\frac{15-17}{5}}}$$

Tangohia te 17 i te 15, ka -2.

$$\frac{\frac{4}{3}}{\frac{\frac{33}{20}}{-\frac{2}{5}}}$$

Whakawehe \frac{33}{20} ki te -\frac{2}{5} mā te whakarea \frac{33}{20} ki te tau huripoki o -\frac{2}{5}.

$$\frac{\frac{4}{3}}{\frac{33}{20}\left(-\frac{5}{2}\right)}$$

Me whakarea te \frac{33}{20} ki te -\frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{4}{3}}{\frac{33\left(-5\right)}{20\times 2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{33\left(-5\right)}{20\times 2}.

$$\frac{\frac{4}{3}}{\frac{-165}{40}}$$

Whakahekea te hautanga \frac{-165}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{4}{3}}{-\frac{33}{8}}$$

Whakawehe \frac{4}{3} ki te -\frac{33}{8} mā te whakarea \frac{4}{3} ki te tau huripoki o -\frac{33}{8}.

$$\frac{4}{3}\left(-\frac{8}{33}\right)$$

Me whakarea te \frac{4}{3} ki te -\frac{8}{33} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\left(-8\right)}{3\times 33}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-8\right)}{3\times 33}.

$$\frac{-32}{99}$$

Ka taea te hautanga \frac{-32}{99} te tuhi anō ko -\frac{32}{99} mā te tango i te tohu tōraro.

$$-\frac{32}{99}$$

Tauwehe

$$-\frac{32}{99} = -0.32323232323232326$$