91/frac{1{24}+1/56} eching

$$9 \frac { 1 } { \frac { 1 } { 24 } + \frac { 1 } { 56 } }$$

Baholash

$$\frac{756}{5}=151,2$$

Yechim qadamlari

24 va 56 ning eng kichik umumiy karralisi 168 ga teng. \frac{1}{24} va \frac{1}{56} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$9\times \frac{1}{\frac{7}{168}+\frac{3}{168}}$$

\frac{7}{168} va \frac{3}{168} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$9\times \frac{1}{\frac{7+3}{168}}$$

10 olish uchun 7 va 3'ni qo'shing.

$$9\times \frac{1}{\frac{10}{168}}$$

\frac{10}{168} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$9\times \frac{1}{\frac{5}{84}}$$

1 ni \frac{5}{84} ga bo'lish 1 ga k'paytirish \frac{5}{84} ga qaytarish.

$$9\times 1\times \frac{84}{5}$$

\frac{84}{5} hosil qilish uchun 1 va \frac{84}{5} ni ko'paytirish.

$$9\times \frac{84}{5}$$

9\times \frac{84}{5} ni yagona kasrga aylantiring.

$$\frac{9\times 84}{5}$$

756 hosil qilish uchun 9 va 84 ni ko'paytirish.

$$\frac{756}{5}$$

Omil

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 7}{5} = 151\frac{1}{5} = 151,2$$