Whakaoti i te 23/5*81/3+71/6*22/5=?

$$2 \frac { 3 } { 5 } \times 8 \frac { 1 } { 3 } + 7 \frac { 1 } { 6 } \times 2 \frac { 2 } { 5 } = ?$$

Aromātai

$$\frac{583}{15}\approx 38.866666667$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10+3}{5}\times \frac{8\times 3+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Tāpirihia te 10 ki te 3, ka 13.

$$\frac{13}{5}\times \frac{8\times 3+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Whakareatia te 8 ki te 3, ka 24.

$$\frac{13}{5}\times \frac{24+1}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Tāpirihia te 24 ki te 1, ka 25.

$$\frac{13}{5}\times \frac{25}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Me whakarea te \frac{13}{5} ki te \frac{25}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{13\times 25}{5\times 3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{13\times 25}{5\times 3}.

$$\frac{325}{15}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Whakahekea te hautanga \frac{325}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{65}{3}+\frac{7\times 6+1}{6}\times \frac{2\times 5+2}{5}$$

Whakareatia te 7 ki te 6, ka 42.

$$\frac{65}{3}+\frac{42+1}{6}\times \frac{2\times 5+2}{5}$$

Tāpirihia te 42 ki te 1, ka 43.

$$\frac{65}{3}+\frac{43}{6}\times \frac{2\times 5+2}{5}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{65}{3}+\frac{43}{6}\times \frac{10+2}{5}$$

Tāpirihia te 10 ki te 2, ka 12.

$$\frac{65}{3}+\frac{43}{6}\times \frac{12}{5}$$

Me whakarea te \frac{43}{6} ki te \frac{12}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{65}{3}+\frac{43\times 12}{6\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{43\times 12}{6\times 5}.

$$\frac{65}{3}+\frac{516}{30}$$

Whakahekea te hautanga \frac{516}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{65}{3}+\frac{86}{5}$$

Ko te maha noa iti rawa atu o 3 me 5 ko 15. Me tahuri \frac{65}{3} me \frac{86}{5} ki te hautau me te tautūnga 15.

$$\frac{325}{15}+\frac{258}{15}$$

Tā te mea he rite te tauraro o \frac{325}{15} me \frac{258}{15}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{325+258}{15}$$

Tāpirihia te 325 ki te 258, ka 583.

$$\frac{583}{15}$$

Tauwehe

$$\frac{11 \cdot 53}{3 \cdot 5} = 38\frac{13}{15} = 38.86666666666667$$