Whakaoti i te 2+1/3/2-frac{1{3}}:1/5+(1/3)^-1

$$\frac { 2 + \frac { 1 } { 3 } } { 2 - \frac { 1 } { 3 } } : \frac { 1 } { 5 } + ( \frac { 1 } { 3 } ) ^ { - 1 }$$

Aromātai

$$10$$

Ngā Upane Otinga

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

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

Tāpirihia te 2 ki te \frac{1}{3}, ka \frac{7}{3}.

$$\frac{\frac{7}{3}\times 5}{2-\frac{1}{3}}+\left(\frac{1}{3}\right)^{-1}$$

Whakareatia te \frac{7}{3} ki te 5, ka \frac{35}{3}.

$$\frac{\frac{35}{3}}{2-\frac{1}{3}}+\left(\frac{1}{3}\right)^{-1}$$

Tangohia te \frac{1}{3} i te 2, ka \frac{5}{3}.

$$\frac{\frac{35}{3}}{\frac{5}{3}}+\left(\frac{1}{3}\right)^{-1}$$

Whakawehe \frac{35}{3} ki te \frac{5}{3} mā te whakarea \frac{35}{3} ki te tau huripoki o \frac{5}{3}.

$$\frac{35}{3}\times \frac{3}{5}+\left(\frac{1}{3}\right)^{-1}$$

Whakareatia te \frac{35}{3} ki te \frac{3}{5}, ka 7.

$$7+\left(\frac{1}{3}\right)^{-1}$$

Tātaihia te \frac{1}{3} mā te pū o -1, kia riro ko 3.

$$7+3$$

Tāpirihia te 7 ki te 3, ka 10.

$$10$$

Tauwehe

$$2\times 5$$