Rešite 3/2div1/4div2/5div3/2divfrac{1}{4}divfrac{2}{5}=

$$\frac { 3 } { 2 } \div \frac { 1 } { 4 } \div \frac { 2 } { 5 } \div \frac { 3 } { 2 } \div \frac { 1 } { 4 } \div \frac { 2 } { 5 } =$$

Ovrednoti

$$100$$

Koraki rešitve

Delite \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} s/z \frac{2}{5} tako, da pomnožite \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} z obratno vrednostjo \frac{2}{5}.

$$\frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}\times 5}{\frac{1}{4}\times 2}$$

Delite \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} s/z \frac{3}{2} tako, da pomnožite \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} z obratno vrednostjo \frac{3}{2}.

$$\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}\times 2}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Delite \frac{3}{2} s/z \frac{1}{4} tako, da pomnožite \frac{3}{2} z obratno vrednostjo \frac{1}{4}.

$$\frac{\frac{\frac{3}{2}\times 4\times 2}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Izrazite \frac{3}{2}\times 4 kot enojni ulomek.

$$\frac{\frac{\frac{3\times 4}{2}\times 2}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Pomnožite 3 in 4, da dobite 12.

$$\frac{\frac{\frac{12}{2}\times 2}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Delite 12 s/z 2, da dobite 6.

$$\frac{\frac{6\times 2}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Pomnožite 6 in 2, da dobite 12.

$$\frac{\frac{12}{\frac{2}{5}\times 3}\times 5}{\frac{1}{4}\times 2}$$

Izrazite \frac{2}{5}\times 3 kot enojni ulomek.

$$\frac{\frac{12}{\frac{2\times 3}{5}}\times 5}{\frac{1}{4}\times 2}$$

Pomnožite 2 in 3, da dobite 6.

$$\frac{\frac{12}{\frac{6}{5}}\times 5}{\frac{1}{4}\times 2}$$

Delite 12 s/z \frac{6}{5} tako, da pomnožite 12 z obratno vrednostjo \frac{6}{5}.

$$\frac{12\times \frac{5}{6}\times 5}{\frac{1}{4}\times 2}$$

Izrazite 12\times \frac{5}{6} kot enojni ulomek.

$$\frac{\frac{12\times 5}{6}\times 5}{\frac{1}{4}\times 2}$$

Pomnožite 12 in 5, da dobite 60.

$$\frac{\frac{60}{6}\times 5}{\frac{1}{4}\times 2}$$

Delite 60 s/z 6, da dobite 10.

$$\frac{10\times 5}{\frac{1}{4}\times 2}$$

Pomnožite 10 in 5, da dobite 50.

$$\frac{50}{\frac{1}{4}\times 2}$$

Pomnožite \frac{1}{4} in 2, da dobite \frac{2}{4}.

$$\frac{50}{\frac{2}{4}}$$

Zmanjšajte ulomek \frac{2}{4} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

$$\frac{50}{\frac{1}{2}}$$

Delite 50 s/z \frac{1}{2} tako, da pomnožite 50 z obratno vrednostjo \frac{1}{2}.

$$50\times 2$$

Pomnožite 50 in 2, da dobite 100.

$$100$$

Faktoriziraj

$$2^{2}\times 5^{2}$$