Whakaoti i te 7/8*12/11-3/8*11/12

$$\frac { 7 } { 8 } \times \frac { 12 } { 11 } - \frac { 3 } { 8 } \times \frac { 11 } { 12 }$$

Aromātai

$$\frac{215}{352}\approx 0.610795455$$

Ngā Upane Otinga

Me whakarea te \frac{7}{8} ki te \frac{12}{11} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{7\times 12}{8\times 11}-\frac{3}{8}\times \frac{11}{12}$$

Mahia ngā whakarea i roto i te hautanga \frac{7\times 12}{8\times 11}.

$$\frac{84}{88}-\frac{3}{8}\times \frac{11}{12}$$

Whakahekea te hautanga \frac{84}{88} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{21}{22}-\frac{3}{8}\times \frac{11}{12}$$

Me whakarea te \frac{3}{8} ki te \frac{11}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21}{22}-\frac{3\times 11}{8\times 12}$$

Mahia ngā whakarea i roto i te hautanga \frac{3\times 11}{8\times 12}.

$$\frac{21}{22}-\frac{33}{96}$$

Whakahekea te hautanga \frac{33}{96} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{21}{22}-\frac{11}{32}$$

Ko te maha noa iti rawa atu o 22 me 32 ko 352. Me tahuri \frac{21}{22} me \frac{11}{32} ki te hautau me te tautūnga 352.

$$\frac{336}{352}-\frac{121}{352}$$

Tā te mea he rite te tauraro o \frac{336}{352} me \frac{121}{352}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{336-121}{352}$$

Tangohia te 121 i te 336, ka 215.

$$\frac{215}{352}$$

Tauwehe

$$\frac{5 \cdot 43}{2 ^ {5} \cdot 11} = 0.6107954545454546$$