43/8div(51/4*4/5) eching

$$4 \frac { 3 } { 8 } \div ( 5 \frac { 1 } { 4 } \times \frac { 4 } { 5 } )$$

Baholash

$$\frac{25}{24}\approx 1,041666667$$

Yechim qadamlari

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

$$\frac{\frac{32+3}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{\frac{35}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

20 hosil qilish uchun 5 va 4 ni ko'paytirish.

$$\frac{\frac{35}{8}}{\frac{20+1}{4}\times \frac{4}{5}}$$

21 olish uchun 20 va 1'ni qo'shing.

$$\frac{\frac{35}{8}}{\frac{21}{4}\times \frac{4}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{21}{4} ni \frac{4}{5} ga ko‘paytiring.

$$\frac{\frac{35}{8}}{\frac{21\times 4}{4\times 5}}$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

$$\frac{\frac{35}{8}}{\frac{21}{5}}$$

\frac{35}{8} ni \frac{21}{5} ga bo'lish \frac{35}{8} ga k'paytirish \frac{21}{5} ga qaytarish.

$$\frac{35}{8}\times \frac{5}{21}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{35}{8} ni \frac{5}{21} ga ko‘paytiring.

$$\frac{35\times 5}{8\times 21}$$

\frac{35\times 5}{8\times 21} kasridagi ko‘paytirishlarni bajaring.

$$\frac{175}{168}$$

\frac{175}{168} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{25}{24}$$

Omil

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1,0416666666666667$$