Whakaoti i te 5/21*15/7+2/4*3/7

$$\frac { 5 } { 21 } \times 1 \frac { 5 } { 7 } + \frac { 2 } { 4 } \times \frac { 3 } { 7 }$$

Aromātai

$$\frac{61}{98}\approx 0.62244898$$

Ngā Upane Otinga

Whakareatia te 1 ki te 7, ka 7.

$$\frac{5}{21}\times \frac{7+5}{7}+\frac{2}{4}\times \frac{3}{7}$$

Tāpirihia te 7 ki te 5, ka 12.

$$\frac{5}{21}\times \frac{12}{7}+\frac{2}{4}\times \frac{3}{7}$$

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

$$\frac{5\times 12}{21\times 7}+\frac{2}{4}\times \frac{3}{7}$$

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

$$\frac{60}{147}+\frac{2}{4}\times \frac{3}{7}$$

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

$$\frac{20}{49}+\frac{2}{4}\times \frac{3}{7}$$

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

$$\frac{20}{49}+\frac{1}{2}\times \frac{3}{7}$$

Me whakarea te \frac{1}{2} ki te \frac{3}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{20}{49}+\frac{1\times 3}{2\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{2\times 7}.

$$\frac{20}{49}+\frac{3}{14}$$

Ko te maha noa iti rawa atu o 49 me 14 ko 98. Me tahuri \frac{20}{49} me \frac{3}{14} ki te hautau me te tautūnga 98.

$$\frac{40}{98}+\frac{21}{98}$$

Tā te mea he rite te tauraro o \frac{40}{98} me \frac{21}{98}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{40+21}{98}$$

Tāpirihia te 40 ki te 21, ka 61.

$$\frac{61}{98}$$

Tauwehe

$$\frac{61}{2 \cdot 7 ^ {2}} = 0.6224489795918368$$