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

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

Ovrednoti

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

Koraki rešitve

Pomnožite 2 in 2, da dobite 4.

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

Seštejte 4 in 1, da dobite 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 v ulomek \frac{10}{2}.

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

Ker \frac{10}{2} in \frac{5}{2} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

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

Odštejte 5 od 10, da dobite 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 kot enojni ulomek.

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

Pomnožite 5 in 20, da dobite 100.

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

Delite 100 s/z 2, da dobite 50.

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

Delite \frac{4\times 2+1}{2} s/z \frac{99}{100} tako, da pomnožite \frac{4\times 2+1}{2} z obratno vrednostjo \frac{99}{100}.

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

Okrajšaj 2 v števcu in imenovalcu.

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

Pomnožite 2 in 4, da dobite 8.

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

Seštejte 1 in 8, da dobite 9.

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

Pomnožite 50 in 9, da dobite 450.

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

Zmanjšajte ulomek \frac{450}{99} na najmanjši imenovalec tako, da izpeljete in okrajšate 9.

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

Pretvorite 50 v ulomek \frac{550}{11}.

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

Ker \frac{550}{11} in \frac{50}{11} imata isti imenovalec, jih odštejte tako, da odštejete njihove števce.

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

Odštejte 50 od 550, da dobite 500.

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

Izrazite \frac{500}{11}\times 32 kot enojni ulomek.

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

Pomnožite 500 in 32, da dobite 16000.

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

Pomnožite 0 in 24, da dobite 0.

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

Vrednost nič, deljena s poljubno vrednostjo, ki ni nič, da vrednost nič.

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

Seštejte \frac{16000}{11} in 0, da dobite \frac{16000}{11}.

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

Faktoriziraj

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