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

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

Baholash

$$100$$

Yechim qadamlari

\frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} ni \frac{2}{5} ga bo'lish \frac{\frac{\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}}}{\frac{3}{2}}}{\frac{1}{4}} ga k'paytirish \frac{2}{5} ga qaytarish.

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

\frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} ni \frac{3}{2} ga bo'lish \frac{\frac{\frac{3}{2}}{\frac{1}{4}}}{\frac{2}{5}} ga k'paytirish \frac{3}{2} ga qaytarish.

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

\frac{3}{2} ni \frac{1}{4} ga bo'lish \frac{3}{2} ga k'paytirish \frac{1}{4} ga qaytarish.

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

\frac{3}{2}\times 4 ni yagona kasrga aylantiring.

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

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

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

6 ni olish uchun 12 ni 2 ga bo‘ling.

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

12 hosil qilish uchun 6 va 2 ni ko'paytirish.

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

\frac{2}{5}\times 3 ni yagona kasrga aylantiring.

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

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

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

12 ni \frac{6}{5} ga bo'lish 12 ga k'paytirish \frac{6}{5} ga qaytarish.

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

12\times \frac{5}{6} ni yagona kasrga aylantiring.

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

60 hosil qilish uchun 12 va 5 ni ko'paytirish.

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

10 ni olish uchun 60 ni 6 ga bo‘ling.

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

50 hosil qilish uchun 10 va 5 ni ko'paytirish.

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

\frac{2}{4} hosil qilish uchun \frac{1}{4} va 2 ni ko'paytirish.

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

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

50 ni \frac{1}{2} ga bo'lish 50 ga k'paytirish \frac{1}{2} ga qaytarish.

$$50\times 2$$

100 hosil qilish uchun 50 va 2 ni ko'paytirish.

$$100$$

Omil

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