Whakaoti i te 5/7*8/9-1/9*5/7

$$\frac { 5 } { 7 } \times \frac { 8 } { 9 } - \frac { 1 } { 9 } \times \frac { 5 } { 7 }$$

Aromātai

$$\frac{5}{9}\approx 0.555555556$$

Ngā Upane Otinga

Me whakarea te \frac{5}{7} ki te \frac{8}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 8}{7\times 9}-\frac{1}{9}\times \frac{5}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 8}{7\times 9}.

$$\frac{40}{63}-\frac{1}{9}\times \frac{5}{7}$$

Me whakarea te \frac{1}{9} ki te \frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{40}{63}-\frac{1\times 5}{9\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 5}{9\times 7}.

$$\frac{40}{63}-\frac{5}{63}$$

Tā te mea he rite te tauraro o \frac{40}{63} me \frac{5}{63}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{40-5}{63}$$

Tangohia te 5 i te 40, ka 35.

$$\frac{35}{63}$$

Whakahekea te hautanga \frac{35}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{5}{9}$$

Tauwehe

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$