Whakaoti i te 21/3div11/6text{of}(5/4-5/5*1frac{-1}{4})

$$2 \frac { 1 } { 3 } \div 1 \frac { 1 } { 6 } \text { of } ( \frac { 5 } { 4 } - \frac { 5 } { 5 } \times 1 \frac { - 1 } { 4 } )$$

Aromātai

$$fo$$

Ngā Upane Otinga

Whakawehea te 5 ki te 5, kia riro ko 1.

$$\frac{\frac{2\times 3+1}{3}}{\frac{1\times 6+1}{6}}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakawehe \frac{2\times 3+1}{3} ki te \frac{1\times 6+1}{6} mā te whakarea \frac{2\times 3+1}{3} ki te tau huripoki o \frac{1\times 6+1}{6}.

$$\frac{\left(2\times 3+1\right)\times 6}{3\left(1\times 6+1\right)}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{2\left(1+2\times 3\right)}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{2\left(1+6\right)}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{2\times 7}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{14}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{14}{7}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakawehea te 14 ki te 7, kia riro ko 2.

$$2of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$2of\left(\frac{5}{4}-1\times \frac{4-1}{4}\right)$$

Tangohia te 1 i te 4, ka 3.

$$2of\left(\frac{5}{4}-1\times \frac{3}{4}\right)$$

Whakareatia te 1 ki te \frac{3}{4}, ka \frac{3}{4}.

$$2of\left(\frac{5}{4}-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$2of\times \frac{5-3}{4}$$

Tangohia te 3 i te 5, ka 2.

$$2of\times \frac{2}{4}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2of\times \frac{1}{2}$$

Me whakakore te 2 me te 2.

$$of$$

Whakaroha

$$fo$$

Ngā Upane Otinga

Whakawehea te 5 ki te 5, kia riro ko 1.

$$\frac{\frac{2\times 3+1}{3}}{\frac{1\times 6+1}{6}}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakawehe \frac{2\times 3+1}{3} ki te \frac{1\times 6+1}{6} mā te whakarea \frac{2\times 3+1}{3} ki te tau huripoki o \frac{1\times 6+1}{6}.

$$\frac{\left(2\times 3+1\right)\times 6}{3\left(1\times 6+1\right)}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{2\left(1+2\times 3\right)}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{2\left(1+6\right)}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{2\times 7}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{14}{1+6}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Tāpirihia te 1 ki te 6, ka 7.

$$\frac{14}{7}of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakawehea te 14 ki te 7, kia riro ko 2.

$$2of\left(\frac{5}{4}-1\times \frac{1\times 4-1}{4}\right)$$

Whakareatia te 1 ki te 4, ka 4.

$$2of\left(\frac{5}{4}-1\times \frac{4-1}{4}\right)$$

Tangohia te 1 i te 4, ka 3.

$$2of\left(\frac{5}{4}-1\times \frac{3}{4}\right)$$

Whakareatia te 1 ki te \frac{3}{4}, ka \frac{3}{4}.

$$2of\left(\frac{5}{4}-\frac{3}{4}\right)$$

Tā te mea he rite te tauraro o \frac{5}{4} me \frac{3}{4}, me tango rāua mā te tango i ō raua taurunga.

$$2of\times \frac{5-3}{4}$$

Tangohia te 3 i te 5, ka 2.

$$2of\times \frac{2}{4}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$2of\times \frac{1}{2}$$

Me whakakore te 2 me te 2.

$$of$$