Whakaoti i te 5/2(20/9)-5/6(20/9)

$$\frac{ 5 }{ 2 } ( \frac{ 20 }{ 9 } )- \frac{ 5 }{ 6 } ( \frac{ 20 }{ 9 } )$$

Aromātai

$$\frac{100}{27}\approx 3.703703704$$

Ngā Upane Otinga

Me whakarea te \frac{5}{2} ki te \frac{20}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 20}{2\times 9}-\frac{5}{6}\times \frac{20}{9}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 20}{2\times 9}.

$$\frac{100}{18}-\frac{5}{6}\times \frac{20}{9}$$

Whakahekea te hautanga \frac{100}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{50}{9}-\frac{5}{6}\times \frac{20}{9}$$

Me whakarea te \frac{5}{6} ki te \frac{20}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{50}{9}-\frac{5\times 20}{6\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 20}{6\times 9}.

$$\frac{50}{9}-\frac{100}{54}$$

Whakahekea te hautanga \frac{100}{54} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{50}{9}-\frac{50}{27}$$

Ko te maha noa iti rawa atu o 9 me 27 ko 27. Me tahuri \frac{50}{9} me \frac{50}{27} ki te hautau me te tautūnga 27.

$$\frac{150}{27}-\frac{50}{27}$$

Tā te mea he rite te tauraro o \frac{150}{27} me \frac{50}{27}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{150-50}{27}$$

Tangohia te 50 i te 150, ka 100.

$$\frac{100}{27}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {3}} = 3\frac{19}{27} = 3.7037037037037037$$