Whakaoti i te 2/3text{of}(51/6-43/8)div11/18

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

Aromātai

$$\frac{1}{2}=0.5$$

Ngā Upane Otinga

Whakareatia te 5 ki te 6, ka 30.

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

Tāpirihia te 30 ki te 1, ka 31.

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

Whakareatia te 4 ki te 8, ka 32.

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

Tāpirihia te 32 ki te 3, ka 35.

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

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.

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

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.

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

Tangohia te 105 i te 124, ka 19.

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

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

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

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

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

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

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

Whakareatia te 1 ki te 18, ka 18.

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

Tāpirihia te 18 ki te 1, ka 19.

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

Whakawehe \frac{19}{36} ki te \frac{19}{18} mā te whakarea \frac{19}{36} ki te tau huripoki o \frac{19}{18}.

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

Me whakarea te \frac{19}{36} ki te \frac{18}{19} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 19 i te taurunga me te tauraro.

$$\frac{18}{36}$$

Whakahekea te hautanga \frac{18}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$