Whakaoti i te 21/12div55/8*21/4

$$2 \frac { 1 } { 12 } \div 5 \frac { 5 } { 8 } \times 2 \frac { 1 } { 4 }$$

Aromātai

$$\frac{5}{6}\approx 0.833333333$$

Ngā Upane Otinga

Whakawehe \frac{2\times 12+1}{12} ki te \frac{5\times 8+5}{8} mā te whakarea \frac{2\times 12+1}{12} ki te tau huripoki o \frac{5\times 8+5}{8}.

$$\frac{\left(2\times 12+1\right)\times 8}{12\left(5\times 8+5\right)}\times \frac{2\times 4+1}{4}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{2\left(1+2\times 12\right)}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

Whakareatia te 2 ki te 12, ka 24.

$$\frac{2\left(1+24\right)}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

Tāpirihia te 1 ki te 24, ka 25.

$$\frac{2\times 25}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

Whakareatia te 2 ki te 25, ka 50.

$$\frac{50}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

Whakareatia te 5 ki te 8, ka 40.

$$\frac{50}{3\left(5+40\right)}\times \frac{2\times 4+1}{4}$$

Tāpirihia te 5 ki te 40, ka 45.

$$\frac{50}{3\times 45}\times \frac{2\times 4+1}{4}$$

Whakareatia te 3 ki te 45, ka 135.

$$\frac{50}{135}\times \frac{2\times 4+1}{4}$$

Whakahekea te hautanga \frac{50}{135} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{10}{27}\times \frac{2\times 4+1}{4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{10}{27}\times \frac{8+1}{4}$$

Tāpirihia te 8 ki te 1, ka 9.

$$\frac{10}{27}\times \frac{9}{4}$$

Me whakarea te \frac{10}{27} ki te \frac{9}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{10\times 9}{27\times 4}$$

Mahia ngā whakarea i roto i te hautanga \frac{10\times 9}{27\times 4}.

$$\frac{90}{108}$$

Whakahekea te hautanga \frac{90}{108} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 18.

$$\frac{5}{6}$$

Tauwehe

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$