Whakaoti i te (3/8div4+41/5div7)*8

$$( \frac { 3 } { 8 } \div 4 + 4 \frac { 1 } { 5 } \div 7 ) \times 8$$

Aromātai

$$\frac{111}{20}=5.55$$

Ngā Upane Otinga

Tuhia te \frac{\frac{3}{8}}{4} hei hautanga kotahi.

$$\left(\frac{3}{8\times 4}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

Whakareatia te 8 ki te 4, ka 32.

$$\left(\frac{3}{32}+\frac{\frac{4\times 5+1}{5}}{7}\right)\times 8$$

Tuhia te \frac{\frac{4\times 5+1}{5}}{7} hei hautanga kotahi.

$$\left(\frac{3}{32}+\frac{4\times 5+1}{5\times 7}\right)\times 8$$

Whakareatia te 4 ki te 5, ka 20.

$$\left(\frac{3}{32}+\frac{20+1}{5\times 7}\right)\times 8$$

Tāpirihia te 20 ki te 1, ka 21.

$$\left(\frac{3}{32}+\frac{21}{5\times 7}\right)\times 8$$

Whakareatia te 5 ki te 7, ka 35.

$$\left(\frac{3}{32}+\frac{21}{35}\right)\times 8$$

Whakahekea te hautanga \frac{21}{35} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\left(\frac{3}{32}+\frac{3}{5}\right)\times 8$$

Ko te maha noa iti rawa atu o 32 me 5 ko 160. Me tahuri \frac{3}{32} me \frac{3}{5} ki te hautau me te tautūnga 160.

$$\left(\frac{15}{160}+\frac{96}{160}\right)\times 8$$

Tā te mea he rite te tauraro o \frac{15}{160} me \frac{96}{160}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{15+96}{160}\times 8$$

Tāpirihia te 15 ki te 96, ka 111.

$$\frac{111}{160}\times 8$$

Tuhia te \frac{111}{160}\times 8 hei hautanga kotahi.

$$\frac{111\times 8}{160}$$

Whakareatia te 111 ki te 8, ka 888.

$$\frac{888}{160}$$

Whakahekea te hautanga \frac{888}{160} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{111}{20}$$

Tauwehe

$$\frac{3 \cdot 37}{2 ^ {2} \cdot 5} = 5\frac{11}{20} = 5.55$$