90div[9div8div(7div6div5)div4)div3div2] eching

$$90 \div [ 9 \div 8 \div ( 7 \div 6 \div 5 ) \div 4 ) \div 3 \div 2 ]$$

Baholash

$$\frac{112}{9}\approx 12,444444444$$

Yechim qadamlari

\frac{\frac{\frac{90}{\frac{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}{4}}}{3}}{2} ni yagona kasrga aylantiring.

$$\frac{\frac{90}{\frac{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}{4}}}{3\times 2}$$

90 ni \frac{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}{4} ga bo'lish 90 ga k'paytirish \frac{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}{4} ga qaytarish.

$$\frac{\frac{90\times 4}{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}}{3\times 2}$$

360 hosil qilish uchun 90 va 4 ni ko'paytirish.

$$\frac{\frac{360}{\frac{\frac{9}{8}}{\frac{\frac{7}{6}}{5}}}}{3\times 2}$$

\frac{9}{8} ni \frac{\frac{7}{6}}{5} ga bo'lish \frac{9}{8} ga k'paytirish \frac{\frac{7}{6}}{5} ga qaytarish.

$$\frac{\frac{360}{\frac{9\times 5}{8\times \frac{7}{6}}}}{3\times 2}$$

45 hosil qilish uchun 9 va 5 ni ko'paytirish.

$$\frac{\frac{360}{\frac{45}{8\times \frac{7}{6}}}}{3\times 2}$$

8\times \frac{7}{6} ni yagona kasrga aylantiring.

$$\frac{\frac{360}{\frac{45}{\frac{8\times 7}{6}}}}{3\times 2}$$

56 hosil qilish uchun 8 va 7 ni ko'paytirish.

$$\frac{\frac{360}{\frac{45}{\frac{56}{6}}}}{3\times 2}$$

\frac{56}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{360}{\frac{45}{\frac{28}{3}}}}{3\times 2}$$

45 ni \frac{28}{3} ga bo'lish 45 ga k'paytirish \frac{28}{3} ga qaytarish.

$$\frac{\frac{360}{45\times \frac{3}{28}}}{3\times 2}$$

45\times \frac{3}{28} ni yagona kasrga aylantiring.

$$\frac{\frac{360}{\frac{45\times 3}{28}}}{3\times 2}$$

135 hosil qilish uchun 45 va 3 ni ko'paytirish.

$$\frac{\frac{360}{\frac{135}{28}}}{3\times 2}$$

360 ni \frac{135}{28} ga bo'lish 360 ga k'paytirish \frac{135}{28} ga qaytarish.

$$\frac{360\times \frac{28}{135}}{3\times 2}$$

360\times \frac{28}{135} ni yagona kasrga aylantiring.

$$\frac{\frac{360\times 28}{135}}{3\times 2}$$

10080 hosil qilish uchun 360 va 28 ni ko'paytirish.

$$\frac{\frac{10080}{135}}{3\times 2}$$

\frac{10080}{135} ulushini 45 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{224}{3}}{3\times 2}$$

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

$$\frac{\frac{224}{3}}{6}$$

\frac{\frac{224}{3}}{6} ni yagona kasrga aylantiring.

$$\frac{224}{3\times 6}$$

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

$$\frac{224}{18}$$

\frac{224}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{112}{9}$$

Omil

$$\frac{2 ^ {4} \cdot 7}{3 ^ {2}} = 12\frac{4}{9} = 12,444444444444445$$