Whakaoti i te 4/15*2/7+8/15div7/2+frac{2}{15}*frac{3}{7}

$$\frac{ 4 }{ 15 } \times \frac{ 2 }{ 7 } + \frac{ 8 }{ 15 } \div \frac{ 7 }{ 2 } + \frac{ 2 }{ 15 } \times \frac{ 3 }{ 7 }$$

Aromātai

$$\frac{2}{7}\approx 0.285714286$$

Ngā Upane Otinga

Me whakarea te \frac{4}{15} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{4\times 2}{15\times 7}+\frac{\frac{8}{15}}{\frac{7}{2}}+\frac{2}{15}\times \frac{3}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 2}{15\times 7}.

$$\frac{8}{105}+\frac{\frac{8}{15}}{\frac{7}{2}}+\frac{2}{15}\times \frac{3}{7}$$

Whakawehe \frac{8}{15} ki te \frac{7}{2} mā te whakarea \frac{8}{15} ki te tau huripoki o \frac{7}{2}.

$$\frac{8}{105}+\frac{8}{15}\times \frac{2}{7}+\frac{2}{15}\times \frac{3}{7}$$

Me whakarea te \frac{8}{15} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8}{105}+\frac{8\times 2}{15\times 7}+\frac{2}{15}\times \frac{3}{7}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 2}{15\times 7}.

$$\frac{8}{105}+\frac{16}{105}+\frac{2}{15}\times \frac{3}{7}$$

Tā te mea he rite te tauraro o \frac{8}{105} me \frac{16}{105}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+16}{105}+\frac{2}{15}\times \frac{3}{7}$$

Tāpirihia te 8 ki te 16, ka 24.

$$\frac{24}{105}+\frac{2}{15}\times \frac{3}{7}$$

Whakahekea te hautanga \frac{24}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{8}{35}+\frac{2}{15}\times \frac{3}{7}$$

Me whakarea te \frac{2}{15} ki te \frac{3}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8}{35}+\frac{2\times 3}{15\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 3}{15\times 7}.

$$\frac{8}{35}+\frac{6}{105}$$

Whakahekea te hautanga \frac{6}{105} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{8}{35}+\frac{2}{35}$$

Tā te mea he rite te tauraro o \frac{8}{35} me \frac{2}{35}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+2}{35}$$

Tāpirihia te 8 ki te 2, ka 10.

$$\frac{10}{35}$$

Whakahekea te hautanga \frac{10}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{2}{7}$$

Tauwehe

$$\frac{2}{7} = 0.2857142857142857$$