Whakaoti i te 51/9:15/10

$$5 \frac { 1 } { 9 } : 1 \frac { 5 } { 10 }$$

Aromātai

$$\frac{92}{27}\approx 3.407407407$$

Ngā Upane Otinga

Whakawehe \frac{5\times 9+1}{9} ki te \frac{1\times 10+5}{10} mā te whakarea \frac{5\times 9+1}{9} ki te tau huripoki o \frac{1\times 10+5}{10}.

$$\frac{\left(5\times 9+1\right)\times 10}{9\left(1\times 10+5\right)}$$

Whakareatia te 5 ki te 9, ka 45.

$$\frac{\left(45+1\right)\times 10}{9\left(1\times 10+5\right)}$$

Tāpirihia te 45 ki te 1, ka 46.

$$\frac{46\times 10}{9\left(1\times 10+5\right)}$$

Whakareatia te 46 ki te 10, ka 460.

$$\frac{460}{9\left(1\times 10+5\right)}$$

Whakareatia te 1 ki te 10, ka 10.

$$\frac{460}{9\left(10+5\right)}$$

Tāpirihia te 10 ki te 5, ka 15.

$$\frac{460}{9\times 15}$$

Whakareatia te 9 ki te 15, ka 135.

$$\frac{460}{135}$$

Whakahekea te hautanga \frac{460}{135} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{92}{27}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 23}{3 ^ {3}} = 3\frac{11}{27} = 3.4074074074074074$$