Whakaoti i te 11/2+2/5div13/4

$$1 \frac { 1 } { 2 } + \frac { 2 } { 5 } \div 1 \frac { 3 } { 4 }$$

Aromātai

$$\frac{121}{70}\approx 1.728571429$$

Ngā Upane Otinga

Whakareatia te 1 ki te 2, ka 2.

$$\frac{2+1}{2}+\frac{\frac{2}{5}}{\frac{1\times 4+3}{4}}$$

Tāpirihia te 2 ki te 1, ka 3.

$$\frac{3}{2}+\frac{\frac{2}{5}}{\frac{1\times 4+3}{4}}$$

Whakawehe \frac{2}{5} ki te \frac{1\times 4+3}{4} mā te whakarea \frac{2}{5} ki te tau huripoki o \frac{1\times 4+3}{4}.

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

Whakareatia te 2 ki te 4, ka 8.

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

Whakareatia te 1 ki te 4, ka 4.

$$\frac{3}{2}+\frac{8}{5\left(4+3\right)}$$

Tāpirihia te 4 ki te 3, ka 7.

$$\frac{3}{2}+\frac{8}{5\times 7}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{3}{2}+\frac{8}{35}$$

Ko te maha noa iti rawa atu o 2 me 35 ko 70. Me tahuri \frac{3}{2} me \frac{8}{35} ki te hautau me te tautūnga 70.

$$\frac{105}{70}+\frac{16}{70}$$

Tā te mea he rite te tauraro o \frac{105}{70} me \frac{16}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{105+16}{70}$$

Tāpirihia te 105 ki te 16, ka 121.

$$\frac{121}{70}$$

Tauwehe

$$\frac{11 ^ {2}}{2 \cdot 5 \cdot 7} = 1\frac{51}{70} = 1.7285714285714286$$