Whakaoti i te 2/3*(51/6-43/8)-11/18

$$\frac { 2 } { 3 } \times ( 5 \frac { 1 } { 6 } - 4 \frac { 3 } { 8 } ) - 1 \frac { 1 } { 18 }$$

Aromātai

$$-\frac{19}{36}\approx -0.527777778$$

Ngā Upane Otinga

Whakareatia te 5 ki te 6, ka 30.

$$\frac{2}{3}\left(\frac{30+1}{6}-\frac{4\times 8+3}{8}\right)-\frac{1\times 18+1}{18}$$

Tāpirihia te 30 ki te 1, ka 31.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{4\times 8+3}{8}\right)-\frac{1\times 18+1}{18}$$

Whakareatia te 4 ki te 8, ka 32.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{32+3}{8}\right)-\frac{1\times 18+1}{18}$$

Tāpirihia te 32 ki te 3, ka 35.

$$\frac{2}{3}\left(\frac{31}{6}-\frac{35}{8}\right)-\frac{1\times 18+1}{18}$$

Ko te maha noa iti rawa atu o 6 me 8 ko 24. Me tahuri \frac{31}{6} me \frac{35}{8} ki te hautau me te tautūnga 24.

$$\frac{2}{3}\left(\frac{124}{24}-\frac{105}{24}\right)-\frac{1\times 18+1}{18}$$

Tā te mea he rite te tauraro o \frac{124}{24} me \frac{105}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2}{3}\times \frac{124-105}{24}-\frac{1\times 18+1}{18}$$

Tangohia te 105 i te 124, ka 19.

$$\frac{2}{3}\times \frac{19}{24}-\frac{1\times 18+1}{18}$$

Me whakarea te \frac{2}{3} ki te \frac{19}{24} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 19}{3\times 24}-\frac{1\times 18+1}{18}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 19}{3\times 24}.

$$\frac{38}{72}-\frac{1\times 18+1}{18}$$

Whakahekea te hautanga \frac{38}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{19}{36}-\frac{1\times 18+1}{18}$$

Whakareatia te 1 ki te 18, ka 18.

$$\frac{19}{36}-\frac{18+1}{18}$$

Tāpirihia te 18 ki te 1, ka 19.

$$\frac{19}{36}-\frac{19}{18}$$

Ko te maha noa iti rawa atu o 36 me 18 ko 36. Me tahuri \frac{19}{36} me \frac{19}{18} ki te hautau me te tautūnga 36.

$$\frac{19}{36}-\frac{38}{36}$$

Tā te mea he rite te tauraro o \frac{19}{36} me \frac{38}{36}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{19-38}{36}$$

Tangohia te 38 i te 19, ka -19.

$$-\frac{19}{36}$$

Tauwehe

$$-\frac{19}{36} = -0.5277777777777778$$