Whakaoti i te 5/21*15/7+2/21*5/7

$$\frac{ 5 }{ 21 } \times 1 \frac{ 5 }{ 7 } + \frac{ 2 }{ 21 } \times \frac{ 5 }{ 7 }$$

Aromātai

$$\frac{10}{21}\approx 0.476190476$$

Ngā Upane Otinga

Whakareatia te 1 ki te 7, ka 7.

$$\frac{5}{21}\times \frac{7+5}{7}+\frac{2}{21}\times \frac{5}{7}$$

Tāpirihia te 7 ki te 5, ka 12.

$$\frac{5}{21}\times \frac{12}{7}+\frac{2}{21}\times \frac{5}{7}$$

Me whakarea te \frac{5}{21} ki te \frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 12}{21\times 7}+\frac{2}{21}\times \frac{5}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 12}{21\times 7}.

$$\frac{60}{147}+\frac{2}{21}\times \frac{5}{7}$$

Whakahekea te hautanga \frac{60}{147} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{20}{49}+\frac{2}{21}\times \frac{5}{7}$$

Me whakarea te \frac{2}{21} ki te \frac{5}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{20}{49}+\frac{2\times 5}{21\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 5}{21\times 7}.

$$\frac{20}{49}+\frac{10}{147}$$

Ko te maha noa iti rawa atu o 49 me 147 ko 147. Me tahuri \frac{20}{49} me \frac{10}{147} ki te hautau me te tautūnga 147.

$$\frac{60}{147}+\frac{10}{147}$$

Tā te mea he rite te tauraro o \frac{60}{147} me \frac{10}{147}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{60+10}{147}$$

Tāpirihia te 60 ki te 10, ka 70.

$$\frac{70}{147}$$

Whakahekea te hautanga \frac{70}{147} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{10}{21}$$

Tauwehe

$$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$$