Whakaoti i te 2/3*11/4-11/5div2

$$\frac { 2 } { 3 } \times 1 \frac { 1 } { 4 } - 1 \frac { 1 } { 5 } \div 2$$

Aromātai

$$\frac{7}{30}\approx 0.233333333$$

Ngā Upane Otinga

Whakareatia te 1 ki te 4, ka 4.

$$\frac{2}{3}\times \frac{4+1}{4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\frac{2}{3}\times \frac{5}{4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Me whakarea te \frac{2}{3} ki te \frac{5}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2\times 5}{3\times 4}-\frac{\frac{1\times 5+1}{5}}{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 5}{3\times 4}.

$$\frac{10}{12}-\frac{\frac{1\times 5+1}{5}}{2}$$

Whakahekea te hautanga \frac{10}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{6}-\frac{\frac{1\times 5+1}{5}}{2}$$

Tuhia te \frac{\frac{1\times 5+1}{5}}{2} hei hautanga kotahi.

$$\frac{5}{6}-\frac{1\times 5+1}{5\times 2}$$

Whakareatia te 1 ki te 5, ka 5.

$$\frac{5}{6}-\frac{5+1}{5\times 2}$$

Tāpirihia te 5 ki te 1, ka 6.

$$\frac{5}{6}-\frac{6}{5\times 2}$$

Whakareatia te 5 ki te 2, ka 10.

$$\frac{5}{6}-\frac{6}{10}$$

Whakahekea te hautanga \frac{6}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{5}{6}-\frac{3}{5}$$

Ko te maha noa iti rawa atu o 6 me 5 ko 30. Me tahuri \frac{5}{6} me \frac{3}{5} ki te hautau me te tautūnga 30.

$$\frac{25}{30}-\frac{18}{30}$$

Tā te mea he rite te tauraro o \frac{25}{30} me \frac{18}{30}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{25-18}{30}$$

Tangohia te 18 i te 25, ka 7.

$$\frac{7}{30}$$

Tauwehe

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$