Whakaoti i te 5/2415/7+2/21*5/7

$$\frac{ 5 }{ 24 } 1 \frac{ 5 }{ 7 } + \frac{ 2 }{ 21 } \times \frac{ 5 }{ 7 }$$

Aromātai

$$\frac{125}{294}\approx 0.425170068$$

Ngā Upane Otinga

Whakareatia te 1 ki te 7, ka 7.

$$\frac{5}{24}\times \frac{7+5}{7}+\frac{2}{21}\times \frac{5}{7}$$

Tāpirihia te 7 ki te 5, ka 12.

$$\frac{5}{24}\times \frac{12}{7}+\frac{2}{21}\times \frac{5}{7}$$

Me whakarea te \frac{5}{24} ki te \frac{12}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 12}{24\times 7}+\frac{2}{21}\times \frac{5}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 12}{24\times 7}.

$$\frac{60}{168}+\frac{2}{21}\times \frac{5}{7}$$

Whakahekea te hautanga \frac{60}{168} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 12.

$$\frac{5}{14}+\frac{2}{21}\times \frac{5}{7}$$

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

$$\frac{5}{14}+\frac{2\times 5}{21\times 7}$$

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

$$\frac{5}{14}+\frac{10}{147}$$

Ko te maha noa iti rawa atu o 14 me 147 ko 294. Me tahuri \frac{5}{14} me \frac{10}{147} ki te hautau me te tautūnga 294.

$$\frac{105}{294}+\frac{20}{294}$$

Tā te mea he rite te tauraro o \frac{105}{294} me \frac{20}{294}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{105+20}{294}$$

Tāpirihia te 105 ki te 20, ka 125.

$$\frac{125}{294}$$

Tauwehe

$$\frac{5 ^ {3}}{2 \cdot 3 \cdot 7 ^ {2}} = 0.42517006802721086$$