42div758+458*11/3-1+4 eching

$$42 \div 758 + 458 \times 1 \frac { 1 } { 3 } - 1 + 4$$

Baholash

$$\frac{697802}{1137}\approx 613,722075638$$

Yechim qadamlari

\frac{42}{758} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{21}{379}+458\times \frac{1\times 3+1}{3}-1+4$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{21}{379}+458\times \frac{3+1}{3}-1+4$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{21}{379}+458\times \frac{4}{3}-1+4$$

458\times \frac{4}{3} ni yagona kasrga aylantiring.

$$\frac{21}{379}+\frac{458\times 4}{3}-1+4$$

1832 hosil qilish uchun 458 va 4 ni ko'paytirish.

$$\frac{21}{379}+\frac{1832}{3}-1+4$$

379 va 3 ning eng kichik umumiy karralisi 1137 ga teng. \frac{21}{379} va \frac{1832}{3} ni 1137 maxraj bilan kasrlarga aylantirib oling.

$$\frac{63}{1137}+\frac{694328}{1137}-1+4$$

\frac{63}{1137} va \frac{694328}{1137} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{63+694328}{1137}-1+4$$

694391 olish uchun 63 va 694328'ni qo'shing.

$$\frac{694391}{1137}-1+4$$

1 ni \frac{1137}{1137} kasrga o‘giring.

$$\frac{694391}{1137}-\frac{1137}{1137}+4$$

\frac{694391}{1137} va \frac{1137}{1137} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{694391-1137}{1137}+4$$

693254 olish uchun 694391 dan 1137 ni ayirish.

$$\frac{693254}{1137}+4$$

4 ni \frac{4548}{1137} kasrga o‘giring.

$$\frac{693254}{1137}+\frac{4548}{1137}$$

\frac{693254}{1137} va \frac{4548}{1137} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{693254+4548}{1137}$$

697802 olish uchun 693254 va 4548'ni qo'shing.

$$\frac{697802}{1137}$$

Omil

$$\frac{2 \cdot 7 \cdot 49843}{3 \cdot 379} = 613\frac{821}{1137} = 613,7220756376429$$