Whakaoti i te 24/16quad3/11-7/121quad7/9

$$\frac { 24 } { 16 } \quad \frac { 3 } { 11 } - \frac { 7 } { 121 } \quad \frac { 7 } { 9 }$$

Aromātai

$$\frac{793}{2178}\approx 0.3640955$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{24}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{3}{2}\times \frac{3}{11}-\frac{7}{121}\times \frac{7}{9}$$

Me whakarea te \frac{3}{2} ki te \frac{3}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\times 3}{2\times 11}-\frac{7}{121}\times \frac{7}{9}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 3}{2\times 11}.

$$\frac{9}{22}-\frac{7}{121}\times \frac{7}{9}$$

Me whakarea te \frac{7}{121} ki te \frac{7}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{9}{22}-\frac{7\times 7}{121\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 7}{121\times 9}.

$$\frac{9}{22}-\frac{49}{1089}$$

Ko te maha noa iti rawa atu o 22 me 1089 ko 2178. Me tahuri \frac{9}{22} me \frac{49}{1089} ki te hautau me te tautūnga 2178.

$$\frac{891}{2178}-\frac{98}{2178}$$

Tā te mea he rite te tauraro o \frac{891}{2178} me \frac{98}{2178}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{891-98}{2178}$$

Tangohia te 98 i te 891, ka 793.

$$\frac{793}{2178}$$

Tauwehe

$$\frac{13 \cdot 61}{2 \cdot 3 ^ {2} \cdot 11 ^ {2}} = 0.3640955004591368$$