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

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

Izračunaj

$$100$$

Koraci rješenja

Podijelite \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} s \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}} s brojem recipročnim broju \frac{2}{5}.

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

Podijelite \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} s \frac{3}{2} tako da pomnožite \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} s brojem recipročnim broju \frac{3}{2}.

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

Podijelite \frac{3}{2} s \frac{1}{4} tako da pomnožite \frac{3}{2} s brojem recipročnim broju \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 kao jedan razlomak.

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

Pomnožite 3 i 4 da biste dobili 12.

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

Podijelite 12 s 2 da biste dobili 6.

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

Pomnožite 6 i 2 da biste dobili 12.

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

Izrazite \frac{2}{5}\times 3 kao jedan razlomak.

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

Pomnožite 2 i 3 da biste dobili 6.

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

Podijelite 12 s \frac{6}{5} tako da pomnožite 12 s brojem recipročnim broju \frac{6}{5}.

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

Izrazite 12\times \frac{5}{6} kao jedan razlomak.

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

Pomnožite 12 i 5 da biste dobili 60.

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

Podijelite 60 s 6 da biste dobili 10.

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

Pomnožite 10 i 5 da biste dobili 50.

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

Pomnožite \frac{1}{4} i 2 da biste dobili \frac{2}{4}.

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

Skratite razlomak \frac{2}{4} na najmanje vrijednosti tako da izlučite i poništite 2.

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

Podijelite 50 s \frac{1}{2} tako da pomnožite 50 s brojem recipročnim broju \frac{1}{2}.

$$50\times 2$$

Pomnožite 50 i 2 da biste dobili 100.

$$100$$

Faktor

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