101/16*31/101*13/52 eching

$$10 \frac { 1 } { 16 } \times 3 \frac { 1 } { 101 } \times 1 \frac { 3 } { 52 }$$

Baholash

$$\frac{168245}{5252}\approx 32,034463062$$

Yechim qadamlari

160 hosil qilish uchun 10 va 16 ni ko'paytirish.

$$\frac{160+1}{16}\times \frac{3\times 101+1}{101}\times \frac{1\times 52+3}{52}$$

161 olish uchun 160 va 1'ni qo'shing.

$$\frac{161}{16}\times \frac{3\times 101+1}{101}\times \frac{1\times 52+3}{52}$$

303 hosil qilish uchun 3 va 101 ni ko'paytirish.

$$\frac{161}{16}\times \frac{303+1}{101}\times \frac{1\times 52+3}{52}$$

304 olish uchun 303 va 1'ni qo'shing.

$$\frac{161}{16}\times \frac{304}{101}\times \frac{1\times 52+3}{52}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{161}{16} ni \frac{304}{101} ga ko‘paytiring.

$$\frac{161\times 304}{16\times 101}\times \frac{1\times 52+3}{52}$$

\frac{161\times 304}{16\times 101} kasridagi ko‘paytirishlarni bajaring.

$$\frac{48944}{1616}\times \frac{1\times 52+3}{52}$$

\frac{48944}{1616} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3059}{101}\times \frac{1\times 52+3}{52}$$

52 hosil qilish uchun 1 va 52 ni ko'paytirish.

$$\frac{3059}{101}\times \frac{52+3}{52}$$

55 olish uchun 52 va 3'ni qo'shing.

$$\frac{3059}{101}\times \frac{55}{52}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3059}{101} ni \frac{55}{52} ga ko‘paytiring.

$$\frac{3059\times 55}{101\times 52}$$

\frac{3059\times 55}{101\times 52} kasridagi ko‘paytirishlarni bajaring.

$$\frac{168245}{5252}$$

Omil

$$\frac{5 \cdot 7 \cdot 11 \cdot 19 \cdot 23}{2 ^ {2} \cdot 13 \cdot 101} = 32\frac{181}{5252} = 32,034463061690786$$