Whakaoti i te 31/5:0,4/3:21/2-1/15

$$\frac { 3 \frac { 1 } { 5 } : 0,4 } { 3 } : 2 \frac { 1 } { 2 } - \frac { 1 } { 15 }$$

Aromātai

$$1$$

Ngā Upane Otinga

Whakawehe \frac{\frac{\frac{3\times 5+1}{5}}{0.4}}{3} ki te \frac{2\times 2+1}{2} mā te whakarea \frac{\frac{\frac{3\times 5+1}{5}}{0.4}}{3} ki te tau huripoki o \frac{2\times 2+1}{2}.

$$\frac{\frac{\frac{3\times 5+1}{5}}{0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Tuhia te \frac{\frac{3\times 5+1}{5}}{0.4} hei hautanga kotahi.

$$\frac{\frac{3\times 5+1}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{\frac{15+1}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Tāpirihia te 15 ki te 1, ka 16.

$$\frac{\frac{16}{5\times 0.4}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Whakareatia te 5 ki te 0.4, ka 2.

$$\frac{\frac{16}{2}\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Whakawehea te 16 ki te 2, kia riro ko 8.

$$\frac{8\times 2}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Whakareatia te 8 ki te 2, ka 16.

$$\frac{16}{3\left(2\times 2+1\right)}-\frac{1}{15}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{16}{3\left(4+1\right)}-\frac{1}{15}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{16}{3\times 5}-\frac{1}{15}$$

Whakareatia te 3 ki te 5, ka 15.

$$\frac{16}{15}-\frac{1}{15}$$

Tā te mea he rite te tauraro o \frac{16}{15} me \frac{1}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{16-1}{15}$$

Tangohia te 1 i te 16, ka 15.

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

Whakawehea te 15 ki te 15, kia riro ko 1.

$$1$$

Tauwehe

$$1$$