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

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

Izrēķināt

$$\frac{16000}{11}\approx 1454,545454545$$

Atrisinājuma darbības

Reiziniet 2 un 2, lai iegūtu 4.

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

Saskaitiet 4 un 1, lai iegūtu 5.

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

Pārvērst 5 par daļskaitli \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 kā \frac{10}{2} un \frac{5}{2} ir viens un tas pats saucējs, atņemiet tos, atņemot to skaitītājus.

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

Atņemiet 5 no 10, lai iegūtu 5.

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

Izsakiet \frac{5}{2}\times 20 kā vienu daļskaitli.

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

Reiziniet 5 un 20, lai iegūtu 100.

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

Daliet 100 ar 2, lai iegūtu 50.

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

Daliet \frac{4\times 2+1}{2} ar \frac{99}{100}, reizinot \frac{4\times 2+1}{2} ar apgriezto daļskaitli \frac{99}{100} .

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

Saīsiniet 2 gan skaitītājā, gan saucējā.

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

Reiziniet 2 un 4, lai iegūtu 8.

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

Saskaitiet 1 un 8, lai iegūtu 9.

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

Reiziniet 50 un 9, lai iegūtu 450.

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

Vienādot daļskaitli \frac{450}{99} līdz mazākajam loceklim, izvelkot un saīsinot 9.

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

Pārvērst 50 par daļskaitli \frac{550}{11}.

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

Tā kā \frac{550}{11} un \frac{50}{11} ir viens un tas pats saucējs, atņemiet tos, atņemot to skaitītājus.

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

Atņemiet 50 no 550, lai iegūtu 500.

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

Izsakiet \frac{500}{11}\times 32 kā vienu daļskaitli.

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

Reiziniet 500 un 32, lai iegūtu 16000.

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

Reiziniet 0 un 24, lai iegūtu 0.

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

Dalot nulli ar jebkuru skaitli, kas nav nulle, iegūst nulli.

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

Saskaitiet \frac{16000}{11} un 0, lai iegūtu \frac{16000}{11}.

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

Sadalīt reizinātājos

$$\frac{2 ^ {7} \cdot 5 ^ {3}}{11} = 1454\frac{6}{11} = 1454,5454545454545$$