Whakaoti i te [(5-21/2)*20-41/2div99/100]*32+024div1/5

$$[ ( 5 - 2 \frac { 1 } { 2 } ) \times 20 - 4 \frac { 1 } { 2 } \div \frac { 99 } { 100 } ] \times 32 + 024 \div \frac { 1 } { 5 }$$

Aromātai

$$\frac{16000}{11}\approx 1454.545454545$$

Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

$$\left(\left(5-\frac{4+1}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\left(\left(5-\frac{5}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Me tahuri te 5 ki te hautau \frac{10}{2}.

$$\left(\left(\frac{10}{2}-\frac{5}{2}\right)\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{10}{2} me \frac{5}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\left(\frac{10-5}{2}\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tangohia te 5 i te 10, ka 5.

$$\left(\frac{5}{2}\times 20-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tuhia te \frac{5}{2}\times 20 hei hautanga kotahi.

$$\left(\frac{5\times 20}{2}-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakareatia te 5 ki te 20, ka 100.

$$\left(\frac{100}{2}-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakawehea te 100 ki te 2, kia riro ko 50.

$$\left(50-\frac{\frac{4\times 2+1}{2}}{\frac{99}{100}}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakawehe \frac{4\times 2+1}{2} ki te \frac{99}{100} mā te whakarea \frac{4\times 2+1}{2} ki te tau huripoki o \frac{99}{100}.

$$\left(50-\frac{\left(4\times 2+1\right)\times 100}{2\times 99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\left(50-\frac{50\left(1+2\times 4\right)}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakareatia te 2 ki te 4, ka 8.

$$\left(50-\frac{50\left(1+8\right)}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tāpirihia te 1 ki te 8, ka 9.

$$\left(50-\frac{50\times 9}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakareatia te 50 ki te 9, ka 450.

$$\left(50-\frac{450}{99}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Whakahekea te hautanga \frac{450}{99} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\left(50-\frac{50}{11}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Me tahuri te 50 ki te hautau \frac{550}{11}.

$$\left(\frac{550}{11}-\frac{50}{11}\right)\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tā te mea he rite te tauraro o \frac{550}{11} me \frac{50}{11}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{550-50}{11}\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tangohia te 50 i te 550, ka 500.

$$\frac{500}{11}\times 32+\frac{0\times 24}{\frac{1}{5}}$$

Tuhia te \frac{500}{11}\times 32 hei hautanga kotahi.

$$\frac{500\times 32}{11}+\frac{0\times 24}{\frac{1}{5}}$$

Whakareatia te 500 ki te 32, ka 16000.

$$\frac{16000}{11}+\frac{0\times 24}{\frac{1}{5}}$$

Whakareatia te 0 ki te 24, ka 0.

$$\frac{16000}{11}+\frac{0}{\frac{1}{5}}$$

Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$\frac{16000}{11}+0$$

Tāpirihia te \frac{16000}{11} ki te 0, ka \frac{16000}{11}.

$$\frac{16000}{11}$$

Tauwehe

$$\frac{2 ^ {7} \cdot 5 ^ {3}}{11} = 1454\frac{6}{11} = 1454.5454545454545$$