Whakaoti i te 11/4+15/9*15/8div61/2=?

$$1 \frac { 1 } { 4 } + 1 \frac { 5 } { 9 } \times 1 \frac { 5 } { 8 } \div 6 \frac { 1 } { 2 } = ?$$

Aromātai

$$\frac{59}{36}\approx 1.638888889$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\frac{4+1}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{5}{4}+\frac{\frac{1\times 9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Whakareatia te 1 ki te 9, ka 9.

$$\frac{5}{4}+\frac{\frac{9+5}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Tāpirihia te 9 ki te 5, ka 14.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{1\times 8+5}{8}}{\frac{6\times 2+1}{2}}$$

Whakareatia te 1 ki te 8, ka 8.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{8+5}{8}}{\frac{6\times 2+1}{2}}$$

Tāpirihia te 8 ki te 5, ka 13.

$$\frac{5}{4}+\frac{\frac{14}{9}\times \frac{13}{8}}{\frac{6\times 2+1}{2}}$$

Me whakarea te \frac{14}{9} ki te \frac{13}{8} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{4}+\frac{\frac{14\times 13}{9\times 8}}{\frac{6\times 2+1}{2}}$$

Mahia ngā whakarea i roto i te hautanga \frac{14\times 13}{9\times 8}.

$$\frac{5}{4}+\frac{\frac{182}{72}}{\frac{6\times 2+1}{2}}$$

Whakahekea te hautanga \frac{182}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{6\times 2+1}{2}}$$

Whakareatia te 6 ki te 2, ka 12.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{12+1}{2}}$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{5}{4}+\frac{\frac{91}{36}}{\frac{13}{2}}$$

Whakawehe \frac{91}{36} ki te \frac{13}{2} mā te whakarea \frac{91}{36} ki te tau huripoki o \frac{13}{2}.

$$\frac{5}{4}+\frac{91}{36}\times \frac{2}{13}$$

Me whakarea te \frac{91}{36} ki te \frac{2}{13} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{4}+\frac{91\times 2}{36\times 13}$$

Mahia ngā whakarea i roto i te hautanga \frac{91\times 2}{36\times 13}.

$$\frac{5}{4}+\frac{182}{468}$$

Whakahekea te hautanga \frac{182}{468} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 26.

$$\frac{5}{4}+\frac{7}{18}$$

Ko te maha noa iti rawa atu o 4 me 18 ko 36. Me tahuri \frac{5}{4} me \frac{7}{18} ki te hautau me te tautūnga 36.

$$\frac{45}{36}+\frac{14}{36}$$

Tā te mea he rite te tauraro o \frac{45}{36} me \frac{14}{36}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{45+14}{36}$$

Tāpirihia te 45 ki te 14, ka 59.

$$\frac{59}{36}$$

Tauwehe

$$\frac{59}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{23}{36} = 1.6388888888888888$$