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

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

Izračunaj

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

Koraci rješenja

Pomnožite 2 i 2 da biste dobili 4.

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

Dodajte 4 broju 1 da biste dobili 5.

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

Pretvorite 5 u razlomak \frac{10}{2}.

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

Budući da \frac{10}{2} i \frac{5}{2} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

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

Oduzmite 5 od 10 da biste dobili 5.

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

Izrazite \frac{5}{2}\times 20 kao jedan razlomak.

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

Pomnožite 5 i 20 da biste dobili 100.

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

Podijelite 100 s 2 da biste dobili 50.

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

Podijelite \frac{4\times 2+1}{2} s \frac{99}{100} tako da pomnožite \frac{4\times 2+1}{2} s brojem recipročnim broju \frac{99}{100}.

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

Skratite 2 u brojniku i nazivniku.

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

Pomnožite 2 i 4 da biste dobili 8.

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

Dodajte 1 broju 8 da biste dobili 9.

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

Pomnožite 50 i 9 da biste dobili 450.

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

Skratite razlomak \frac{450}{99} na najmanje vrijednosti tako da izlučite i poništite 9.

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

Pretvorite 50 u razlomak \frac{550}{11}.

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

Budući da \frac{550}{11} i \frac{50}{11} imaju isti nazivnik, oduzmite ih oduzimanje njihovih brojnika.

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

Oduzmite 50 od 550 da biste dobili 500.

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

Izrazite \frac{500}{11}\times 32 kao jedan razlomak.

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

Pomnožite 500 i 32 da biste dobili 16000.

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

Pomnožite 0 i 24 da biste dobili 0.

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

Nula podijeljena s brojem koji nije nula daje nulu.

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

Dodajte \frac{16000}{11} broju 0 da biste dobili \frac{16000}{11}.

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

Faktor

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