Whakaoti i te 16/63+5/12/1-frac{16{63}*5/12}

$$\frac { \frac { 16 } { 63 } + \frac { 5 } { 12 } } { 1 - \frac { 16 } { 63 } \times \frac { 5 } { 12 } }$$

Aromātai

$$\frac{3}{4}=0.75$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 63 me 12 ko 252. Me tahuri \frac{16}{63} me \frac{5}{12} ki te hautau me te tautūnga 252.

$$\frac{\frac{64}{252}+\frac{105}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

Tā te mea he rite te tauraro o \frac{64}{252} me \frac{105}{252}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\frac{64+105}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

Tāpirihia te 64 ki te 105, ka 169.

$$\frac{\frac{169}{252}}{1-\frac{16}{63}\times \frac{5}{12}}$$

Me whakarea te \frac{16}{63} ki te \frac{5}{12} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{169}{252}}{1-\frac{16\times 5}{63\times 12}}$$

Mahia ngā whakarea i roto i te hautanga \frac{16\times 5}{63\times 12}.

$$\frac{\frac{169}{252}}{1-\frac{80}{756}}$$

Whakahekea te hautanga \frac{80}{756} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{\frac{169}{252}}{1-\frac{20}{189}}$$

Me tahuri te 1 ki te hautau \frac{189}{189}.

$$\frac{\frac{169}{252}}{\frac{189}{189}-\frac{20}{189}}$$

Tā te mea he rite te tauraro o \frac{189}{189} me \frac{20}{189}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{169}{252}}{\frac{189-20}{189}}$$

Tangohia te 20 i te 189, ka 169.

$$\frac{\frac{169}{252}}{\frac{169}{189}}$$

Whakawehe \frac{169}{252} ki te \frac{169}{189} mā te whakarea \frac{169}{252} ki te tau huripoki o \frac{169}{189}.

$$\frac{169}{252}\times \frac{189}{169}$$

Me whakarea te \frac{169}{252} ki te \frac{189}{169} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{169\times 189}{252\times 169}$$

Me whakakore tahi te 169 i te taurunga me te tauraro.

$$\frac{189}{252}$$

Whakahekea te hautanga \frac{189}{252} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 63.

$$\frac{3}{4}$$

Tauwehe

$$\frac{3}{2 ^ {2}} = 0.75$$