Whakaoti i te 55/8div12/7

$$5 \frac { 5 } { 8 } \div 1 \frac { 2 } { 7 }$$

Aromātai

$$\frac{35}{8}=4.375$$

Ngā Upane Otinga

Whakawehe \frac{5\times 8+5}{8} ki te \frac{1\times 7+2}{7} mā te whakarea \frac{5\times 8+5}{8} ki te tau huripoki o \frac{1\times 7+2}{7}.

$$\frac{\left(5\times 8+5\right)\times 7}{8\left(1\times 7+2\right)}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{\left(40+5\right)\times 7}{8\left(1\times 7+2\right)}$$

Tāpirihia te 40 ki te 5, ka 45.

$$\frac{45\times 7}{8\left(1\times 7+2\right)}$$

Whakareatia te 45 ki te 7, ka 315.

$$\frac{315}{8\left(1\times 7+2\right)}$$

Whakareatia te 1 ki te 7, ka 7.

$$\frac{315}{8\left(7+2\right)}$$

Tāpirihia te 7 ki te 2, ka 9.

$$\frac{315}{8\times 9}$$

Whakareatia te 8 ki te 9, ka 72.

$$\frac{315}{72}$$

Whakahekea te hautanga \frac{315}{72} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{35}{8}$$

Tauwehe

$$\frac{5 \cdot 7}{2 ^ {3}} = 4\frac{3}{8} = 4.375$$