(300/7+450/704)/10+242 eching

$$( 300 / 7 + 450 / 704 ) / 10 + 242$$

Baholash

$$\frac{1214011}{4928}\approx 246,34963474$$

Yechim qadamlari

\frac{450}{704} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{300}{7}+\frac{225}{352}}{10}+242$$

7 va 352 ning eng kichik umumiy karralisi 2464 ga teng. \frac{300}{7} va \frac{225}{352} ni 2464 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{105600}{2464}+\frac{1575}{2464}}{10}+242$$

\frac{105600}{2464} va \frac{1575}{2464} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{105600+1575}{2464}}{10}+242$$

107175 olish uchun 105600 va 1575'ni qo'shing.

$$\frac{\frac{107175}{2464}}{10}+242$$

\frac{\frac{107175}{2464}}{10} ni yagona kasrga aylantiring.

$$\frac{107175}{2464\times 10}+242$$

24640 hosil qilish uchun 2464 va 10 ni ko'paytirish.

$$\frac{107175}{24640}+242$$

\frac{107175}{24640} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{21435}{4928}+242$$

242 ni \frac{1192576}{4928} kasrga o‘giring.

$$\frac{21435}{4928}+\frac{1192576}{4928}$$

\frac{21435}{4928} va \frac{1192576}{4928} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{21435+1192576}{4928}$$

1214011 olish uchun 21435 va 1192576'ni qo'shing.

$$\frac{1214011}{4928}$$

Omil

$$\frac{1214011}{2 ^ {6} \cdot 7 \cdot 11} = 246\frac{1723}{4928} = 246,34963474025975$$