46/35*1frac{1{3}-51/2div32/3+37}= eching

$$\frac { 46 } { 35 \times 1 \frac { 1 } { 3 } - 5 \frac { 1 } { 2 } \div 3 \frac { 2 } { 3 } + 37 } =$$

Baholash

$$\frac{276}{493}\approx 0,559837728$$

Yechim qadamlari

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

$$\frac{46}{35\times \frac{3+1}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

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

$$\frac{46}{35\times \frac{4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

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

$$\frac{46}{\frac{35\times 4}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

140 hosil qilish uchun 35 va 4 ni ko'paytirish.

$$\frac{46}{\frac{140}{3}-\frac{\frac{5\times 2+1}{2}}{\frac{3\times 3+2}{3}}+37}$$

\frac{5\times 2+1}{2} ni \frac{3\times 3+2}{3} ga bo'lish \frac{5\times 2+1}{2} ga k'paytirish \frac{3\times 3+2}{3} ga qaytarish.

$$\frac{46}{\frac{140}{3}-\frac{\left(5\times 2+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{46}{\frac{140}{3}-\frac{\left(10+1\right)\times 3}{2\left(3\times 3+2\right)}+37}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{46}{\frac{140}{3}-\frac{11\times 3}{2\left(3\times 3+2\right)}+37}$$

33 hosil qilish uchun 11 va 3 ni ko'paytirish.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(3\times 3+2\right)}+37}$$

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

$$\frac{46}{\frac{140}{3}-\frac{33}{2\left(9+2\right)}+37}$$

11 olish uchun 9 va 2'ni qo'shing.

$$\frac{46}{\frac{140}{3}-\frac{33}{2\times 11}+37}$$

22 hosil qilish uchun 2 va 11 ni ko'paytirish.

$$\frac{46}{\frac{140}{3}-\frac{33}{22}+37}$$

\frac{33}{22} ulushini 11 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{46}{\frac{140}{3}-\frac{3}{2}+37}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{140}{3} va \frac{3}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{46}{\frac{280}{6}-\frac{9}{6}+37}$$

\frac{280}{6} va \frac{9}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{46}{\frac{280-9}{6}+37}$$

271 olish uchun 280 dan 9 ni ayirish.

$$\frac{46}{\frac{271}{6}+37}$$

37 ni \frac{222}{6} kasrga o‘giring.

$$\frac{46}{\frac{271}{6}+\frac{222}{6}}$$

\frac{271}{6} va \frac{222}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{46}{\frac{271+222}{6}}$$

493 olish uchun 271 va 222'ni qo'shing.

$$\frac{46}{\frac{493}{6}}$$

46 ni \frac{493}{6} ga bo'lish 46 ga k'paytirish \frac{493}{6} ga qaytarish.

$$46\times \frac{6}{493}$$

46\times \frac{6}{493} ni yagona kasrga aylantiring.

$$\frac{46\times 6}{493}$$

276 hosil qilish uchun 46 va 6 ni ko'paytirish.

$$\frac{276}{493}$$

Omil

$$\frac{2 ^ {2} \cdot 3 \cdot 23}{17 \cdot 29} = 0,5598377281947262$$