Whakaoti i te 4/7*4/3div(2/5-4/15)

$$\frac { 4 } { 7 } \times \frac { 4 } { 3 } \div ( \frac { 2 } { 5 } - \frac { 4 } { 15 } )$$

Aromātai

$$\frac{40}{7}\approx 5.714285714$$

Ngā Upane Otinga

Me whakarea te \frac{4}{7} ki te \frac{4}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{4\times 4}{7\times 3}}{\frac{2}{5}-\frac{4}{15}}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 4}{7\times 3}.

$$\frac{\frac{16}{21}}{\frac{2}{5}-\frac{4}{15}}$$

Ko te maha noa iti rawa atu o 5 me 15 ko 15. Me tahuri \frac{2}{5} me \frac{4}{15} ki te hautau me te tautūnga 15.

$$\frac{\frac{16}{21}}{\frac{6}{15}-\frac{4}{15}}$$

Tā te mea he rite te tauraro o \frac{6}{15} me \frac{4}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{16}{21}}{\frac{6-4}{15}}$$

Tangohia te 4 i te 6, ka 2.

$$\frac{\frac{16}{21}}{\frac{2}{15}}$$

Whakawehe \frac{16}{21} ki te \frac{2}{15} mā te whakarea \frac{16}{21} ki te tau huripoki o \frac{2}{15}.

$$\frac{16}{21}\times \frac{15}{2}$$

Me whakarea te \frac{16}{21} ki te \frac{15}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{16\times 15}{21\times 2}$$

Mahia ngā whakarea i roto i te hautanga \frac{16\times 15}{21\times 2}.

$$\frac{240}{42}$$

Whakahekea te hautanga \frac{240}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{40}{7}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714$$