Whakaoti i te 133/5:6/5+3/6=(3/3divfrac{2}{6})

$$13 \frac { 3 } { 5 } : \frac { 6 } { 5 } + \frac { 3 } { 6 } = ( \frac { 3 } { 3 } \div \frac { 2 } { 6 } )$$

Manatoko

Ngā Upane Otinga

Whakawehea te 3 ki te 3, kia riro ko 1.

$$\frac{\frac{13\times 5+3}{5}}{\frac{6}{5}}+\frac{3}{6}=\frac{1}{\frac{2}{6}}$$

Whakawehe \frac{13\times 5+3}{5} ki te \frac{6}{5} mā te whakarea \frac{13\times 5+3}{5} ki te tau huripoki o \frac{6}{5}.

$$\frac{\left(13\times 5+3\right)\times 5}{5\times 6}+\frac{3}{6}=\frac{1}{\frac{2}{6}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{3+5\times 13}{6}+\frac{3}{6}=\frac{1}{\frac{2}{6}}$$

Whakareatia te 5 ki te 13, ka 65.

$$\frac{3+65}{6}+\frac{3}{6}=\frac{1}{\frac{2}{6}}$$

Tāpirihia te 3 ki te 65, ka 68.

$$\frac{68}{6}+\frac{3}{6}=\frac{1}{\frac{2}{6}}$$

Tā te mea he rite te tauraro o \frac{68}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{68+3}{6}=\frac{1}{\frac{2}{6}}$$

Tāpirihia te 68 ki te 3, ka 71.

$$\frac{71}{6}=\frac{1}{\frac{2}{6}}$$

Whakawehe 1 ki te \frac{2}{6} mā te whakarea 1 ki te tau huripoki o \frac{2}{6}.

$$\frac{71}{6}=\frac{6}{2}$$

Whakawehea te 6 ki te 2, kia riro ko 3.

$$\frac{71}{6}=3$$

Me tahuri te 3 ki te hautau \frac{18}{6}.

$$\frac{71}{6}=\frac{18}{6}$$

Whakatauritea te \frac{71}{6} me te \frac{18}{6}.

$$\text{false}$$