Whakaoti i te (3/8div1/4+71/5div7)*8

$$( \frac { 3 } { 8 } \div \frac { 1 } { 4 } + \frac { 71 } { 5 } \div 7 ) \times 8$$

Aromātai

$$\frac{988}{35}\approx 28.228571429$$

Ngā Upane Otinga

Whakawehe \frac{3}{8} ki te \frac{1}{4} mā te whakarea \frac{3}{8} ki te tau huripoki o \frac{1}{4}.

$$\left(\frac{3}{8}\times 4+\frac{\frac{71}{5}}{7}\right)\times 8$$

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

$$\left(\frac{3\times 4}{8}+\frac{\frac{71}{5}}{7}\right)\times 8$$

Whakareatia te 3 ki te 4, ka 12.

$$\left(\frac{12}{8}+\frac{\frac{71}{5}}{7}\right)\times 8$$

Whakahekea te hautanga \frac{12}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\left(\frac{3}{2}+\frac{\frac{71}{5}}{7}\right)\times 8$$

Tuhia te \frac{\frac{71}{5}}{7} hei hautanga kotahi.

$$\left(\frac{3}{2}+\frac{71}{5\times 7}\right)\times 8$$

Whakareatia te 5 ki te 7, ka 35.

$$\left(\frac{3}{2}+\frac{71}{35}\right)\times 8$$

Ko te maha noa iti rawa atu o 2 me 35 ko 70. Me tahuri \frac{3}{2} me \frac{71}{35} ki te hautau me te tautūnga 70.

$$\left(\frac{105}{70}+\frac{142}{70}\right)\times 8$$

Tā te mea he rite te tauraro o \frac{105}{70} me \frac{142}{70}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{105+142}{70}\times 8$$

Tāpirihia te 105 ki te 142, ka 247.

$$\frac{247}{70}\times 8$$

Tuhia te \frac{247}{70}\times 8 hei hautanga kotahi.

$$\frac{247\times 8}{70}$$

Whakareatia te 247 ki te 8, ka 1976.

$$\frac{1976}{70}$$

Whakahekea te hautanga \frac{1976}{70} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{988}{35}$$

Tauwehe

$$\frac{2 ^ {2} \cdot 13 \cdot 19}{5 \cdot 7} = 28\frac{8}{35} = 28.228571428571428$$