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

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

Izrēķināt

$$100$$

Atrisinājuma darbības

Daliet \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} ar \frac{2}{5}, reizinot \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} ar apgriezto daļskaitli \frac{2}{5} .

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

Daliet \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} ar \frac{3}{2}, reizinot \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} ar apgriezto daļskaitli \frac{3}{2} .

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

Daliet \frac{3}{2} ar \frac{1}{4}, reizinot \frac{3}{2} ar apgriezto daļskaitli \frac{1}{4} .

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

Izsakiet \frac{3}{2}\times 4 kā vienu daļskaitli.

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

Reiziniet 3 un 4, lai iegūtu 12.

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

Daliet 12 ar 2, lai iegūtu 6.

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

Reiziniet 6 un 2, lai iegūtu 12.

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

Izsakiet \frac{2}{5}\times 3 kā vienu daļskaitli.

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

Reiziniet 2 un 3, lai iegūtu 6.

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

Daliet 12 ar \frac{6}{5}, reizinot 12 ar apgriezto daļskaitli \frac{6}{5} .

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

Izsakiet 12\times \frac{5}{6} kā vienu daļskaitli.

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

Reiziniet 12 un 5, lai iegūtu 60.

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

Daliet 60 ar 6, lai iegūtu 10.

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

Reiziniet 10 un 5, lai iegūtu 50.

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

Reiziniet \frac{1}{4} un 2, lai iegūtu \frac{2}{4}.

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

Vienādot daļskaitli \frac{2}{4} līdz mazākajam loceklim, izvelkot un saīsinot 2.

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

Daliet 50 ar \frac{1}{2}, reizinot 50 ar apgriezto daļskaitli \frac{1}{2} .

$$50\times 2$$

Reiziniet 50 un 2, lai iegūtu 100.

$$100$$

Sadalīt reizinātājos

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