Whakaoti i te 4/5div[(5/8-1/3)div12]=

$$\frac { 4 } { 5 } \div [ ( \frac { 5 } { 8 } - \frac { 1 } { 3 } ) \div 12 ] =$$

Aromātai

$$\frac{1152}{35}\approx 32.914285714$$

Ngā Upane Otinga

Whakawehe \frac{4}{5} ki te \frac{\frac{5}{8}-\frac{1}{3}}{12} mā te whakarea \frac{4}{5} ki te tau huripoki o \frac{\frac{5}{8}-\frac{1}{3}}{12}.

$$\frac{4\times 12}{5\left(\frac{5}{8}-\frac{1}{3}\right)}$$

Whakareatia te 4 ki te 12, ka 48.

$$\frac{48}{5\left(\frac{5}{8}-\frac{1}{3}\right)}$$

Ko te maha noa iti rawa atu o 8 me 3 ko 24. Me tahuri \frac{5}{8} me \frac{1}{3} ki te hautau me te tautūnga 24.

$$\frac{48}{5\left(\frac{15}{24}-\frac{8}{24}\right)}$$

Tā te mea he rite te tauraro o \frac{15}{24} me \frac{8}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{48}{5\times \frac{15-8}{24}}$$

Tangohia te 8 i te 15, ka 7.

$$\frac{48}{5\times \frac{7}{24}}$$

Tuhia te 5\times \frac{7}{24} hei hautanga kotahi.

$$\frac{48}{\frac{5\times 7}{24}}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{48}{\frac{35}{24}}$$

Whakawehe 48 ki te \frac{35}{24} mā te whakarea 48 ki te tau huripoki o \frac{35}{24}.

$$48\times \frac{24}{35}$$

Tuhia te 48\times \frac{24}{35} hei hautanga kotahi.

$$\frac{48\times 24}{35}$$

Whakareatia te 48 ki te 24, ka 1152.

$$\frac{1152}{35}$$

Tauwehe

$$\frac{2 ^ {7} \cdot 3 ^ {2}}{5 \cdot 7} = 32\frac{32}{35} = 32.91428571428571$$