Whakaoti i te (2-3/4-5/8)+-3+5/2/2frac{7{3}-frac{5}{6}}

$$( 2 - \frac { 3 } { 4 } - \frac { 5 } { 8 } ) + \frac { - 3 + \frac { 5 } { 2 } } { 2 \frac { 7 } { 3 } - \frac { 5 } { 6 } }$$

Aromātai

$$\frac{27}{56}\approx 0.482142857$$

Ngā Upane Otinga

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

$$\frac{8}{4}-\frac{3}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{8-3}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tangohia te 3 i te 8, ka 5.

$$\frac{5}{4}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{5}{4} me \frac{5}{8} ki te hautau me te tautūnga 8.

$$\frac{10}{8}-\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{10}{8} me \frac{5}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{10-5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tangohia te 5 i te 10, ka 5.

$$\frac{5}{8}+\frac{-3+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

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

$$\frac{5}{8}+\frac{-\frac{6}{2}+\frac{5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tā te mea he rite te tauraro o -\frac{6}{2} me \frac{5}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{8}+\frac{\frac{-6+5}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Tāpirihia te -6 ki te 5, ka -1.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{2\times 3+7}{3}-\frac{5}{6}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{6+7}{3}-\frac{5}{6}}$$

Tāpirihia te 6 ki te 7, ka 13.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{13}{3}-\frac{5}{6}}$$

Ko te maha noa iti rawa atu o 3 me 6 ko 6. Me tahuri \frac{13}{3} me \frac{5}{6} ki te hautau me te tautūnga 6.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{26}{6}-\frac{5}{6}}$$

Tā te mea he rite te tauraro o \frac{26}{6} me \frac{5}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{26-5}{6}}$$

Tangohia te 5 i te 26, ka 21.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{21}{6}}$$

Whakahekea te hautanga \frac{21}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{5}{8}+\frac{-\frac{1}{2}}{\frac{7}{2}}$$

Whakawehe -\frac{1}{2} ki te \frac{7}{2} mā te whakarea -\frac{1}{2} ki te tau huripoki o \frac{7}{2}.

$$\frac{5}{8}-\frac{1}{2}\times \frac{2}{7}$$

Me whakarea te -\frac{1}{2} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{8}+\frac{-2}{2\times 7}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{5}{8}+\frac{-1}{7}$$

Ka taea te hautanga \frac{-1}{7} te tuhi anō ko -\frac{1}{7} mā te tango i te tohu tōraro.

$$\frac{5}{8}-\frac{1}{7}$$

Ko te maha noa iti rawa atu o 8 me 7 ko 56. Me tahuri \frac{5}{8} me \frac{1}{7} ki te hautau me te tautūnga 56.

$$\frac{35}{56}-\frac{8}{56}$$

Tā te mea he rite te tauraro o \frac{35}{56} me \frac{8}{56}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{35-8}{56}$$

Tangohia te 8 i te 35, ka 27.

$$\frac{27}{56}$$

Tauwehe

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 7} = 0.48214285714285715$$