Whakaoti i te [13/4-1/8]33quad21/5

$$[ 1 \frac { 3 } { 4 } - \frac { 1 } { 8 } ] 33 \quad 2 \frac { 1 } { 5 }$$

Aromātai

$$\frac{4719}{40}=117.975$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\left(\frac{4+3}{4}-\frac{1}{8}\right)\times 33\times \frac{2\times 5+1}{5}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\left(\frac{7}{4}-\frac{1}{8}\right)\times 33\times \frac{2\times 5+1}{5}$$

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{7}{4} me \frac{1}{8} ki te hautau me te tautūnga 8.

$$\left(\frac{14}{8}-\frac{1}{8}\right)\times 33\times \frac{2\times 5+1}{5}$$

Tā te mea he rite te tauraro o \frac{14}{8} me \frac{1}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{14-1}{8}\times 33\times \frac{2\times 5+1}{5}$$

Tangohia te 1 i te 14, ka 13.

$$\frac{13}{8}\times 33\times \frac{2\times 5+1}{5}$$

Tuhia te \frac{13}{8}\times 33 hei hautanga kotahi.

$$\frac{13\times 33}{8}\times \frac{2\times 5+1}{5}$$

Whakareatia te 13 ki te 33, ka 429.

$$\frac{429}{8}\times \frac{2\times 5+1}{5}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{429}{8}\times \frac{10+1}{5}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{429}{8}\times \frac{11}{5}$$

Me whakarea te \frac{429}{8} ki te \frac{11}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{429\times 11}{8\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{429\times 11}{8\times 5}.

$$\frac{4719}{40}$$

Tauwehe

$$\frac{3 \cdot 11 ^ {2} \cdot 13}{2 ^ {3} \cdot 5} = 117\frac{39}{40} = 117.975$$