Whakaoti i te (4/3-1/5)*(3/4-1/6)

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

Aromātai

$$\frac{119}{180}\approx 0.661111111$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{4}{3} me \frac{1}{5} ki te hautau me te tautūnga 15.

$$\left(\frac{20}{15}-\frac{3}{15}\right)\left(\frac{3}{4}-\frac{1}{6}\right)$$

Tā te mea he rite te tauraro o \frac{20}{15} me \frac{3}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{20-3}{15}\left(\frac{3}{4}-\frac{1}{6}\right)$$

Tangohia te 3 i te 20, ka 17.

$$\frac{17}{15}\left(\frac{3}{4}-\frac{1}{6}\right)$$

Ko te maha noa iti rawa atu o 4 me 6 ko 12. Me tahuri \frac{3}{4} me \frac{1}{6} ki te hautau me te tautūnga 12.

$$\frac{17}{15}\left(\frac{9}{12}-\frac{2}{12}\right)$$

Tā te mea he rite te tauraro o \frac{9}{12} me \frac{2}{12}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{17}{15}\times \frac{9-2}{12}$$

Tangohia te 2 i te 9, ka 7.

$$\frac{17}{15}\times \frac{7}{12}$$

Me whakarea te \frac{17}{15} ki te \frac{7}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{17\times 7}{15\times 12}$$

Mahia ngā whakarea i roto i te hautanga \frac{17\times 7}{15\times 12}.

$$\frac{119}{180}$$

Tauwehe

$$\frac{7 \cdot 17}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0.6611111111111111$$