Whakaoti i te 21/5*10/22+3/4:21/4=

$$2 \frac { 1 } { 5 } \cdot \frac { 10 } { 22 } + \frac { 3 } { 4 } : 2 \frac { 1 } { 4 } =$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+1}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Tāpirihia te 10 ki te 1, ka 11.

$$\frac{11}{5}\times \frac{10}{22}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Whakahekea te hautanga \frac{10}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{11}{5}\times \frac{5}{11}+\frac{\frac{3}{4}}{\frac{2\times 4+1}{4}}$$

Me whakakore atu te \frac{11}{5} me tōna tau utu \frac{5}{11}.

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

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

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

Me whakakore tahi te 4 i te taurunga me te tauraro.

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

Whakareatia te 2 ki te 4, ka 8.

$$1+\frac{3}{1+8}$$

Tāpirihia te 1 ki te 8, ka 9.

$$1+\frac{3}{9}$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$1+\frac{1}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{3}{3}+\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+1}{3}$$

Tāpirihia te 3 ki te 1, ka 4.

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

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$