Whakaoti i te 21/3+(33/5div11/8)

$$2 \frac { 1 } { 3 } + ( 3 \frac { 3 } { 5 } \div 1 \frac { 1 } { 8 } )$$

Aromātai

$$\frac{83}{15}\approx 5.533333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 3, ka 6.

$$\frac{6+1}{3}+\frac{\frac{3\times 5+3}{5}}{\frac{1\times 8+1}{8}}$$

Tāpirihia te 6 ki te 1, ka 7.

$$\frac{7}{3}+\frac{\frac{3\times 5+3}{5}}{\frac{1\times 8+1}{8}}$$

Whakawehe \frac{3\times 5+3}{5} ki te \frac{1\times 8+1}{8} mā te whakarea \frac{3\times 5+3}{5} ki te tau huripoki o \frac{1\times 8+1}{8}.

$$\frac{7}{3}+\frac{\left(3\times 5+3\right)\times 8}{5\left(1\times 8+1\right)}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{7}{3}+\frac{\left(15+3\right)\times 8}{5\left(1\times 8+1\right)}$$

Tāpirihia te 15 ki te 3, ka 18.

$$\frac{7}{3}+\frac{18\times 8}{5\left(1\times 8+1\right)}$$

Whakareatia te 18 ki te 8, ka 144.

$$\frac{7}{3}+\frac{144}{5\left(1\times 8+1\right)}$$

Whakareatia te 1 ki te 8, ka 8.

$$\frac{7}{3}+\frac{144}{5\left(8+1\right)}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{7}{3}+\frac{144}{5\times 9}$$

Whakareatia te 5 ki te 9, ka 45.

$$\frac{7}{3}+\frac{144}{45}$$

Whakahekea te hautanga \frac{144}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{7}{3}+\frac{16}{5}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{7}{3} me \frac{16}{5} ki te hautau me te tautūnga 15.

$$\frac{35}{15}+\frac{48}{15}$$

Tā te mea he rite te tauraro o \frac{35}{15} me \frac{48}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{35+48}{15}$$

Tāpirihia te 35 ki te 48, ka 83.

$$\frac{83}{15}$$

Tauwehe

$$\frac{83}{3 \cdot 5} = 5\frac{8}{15} = 5.533333333333333$$