5*(1/38+1/58) eching

$$5 \times ( \frac { 1 } { 38 } + \frac { 1 } { 58 } )$$

Baholash

$$\frac{120}{551}\approx 0,217785844$$

Yechim qadamlari

38 va 58 ning eng kichik umumiy karralisi 1102 ga teng. \frac{1}{38} va \frac{1}{58} ni 1102 maxraj bilan kasrlarga aylantirib oling.

$$5\left(\frac{29}{1102}+\frac{19}{1102}\right)$$

\frac{29}{1102} va \frac{19}{1102} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$5\times \frac{29+19}{1102}$$

48 olish uchun 29 va 19'ni qo'shing.

$$5\times \frac{48}{1102}$$

\frac{48}{1102} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$5\times \frac{24}{551}$$

5\times \frac{24}{551} ni yagona kasrga aylantiring.

$$\frac{5\times 24}{551}$$

120 hosil qilish uchun 5 va 24 ni ko'paytirish.

$$\frac{120}{551}$$

Omil

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{19 \cdot 29} = 0,2177858439201452$$