12/9div{3-(5/36+11/9*06)div145} eching

$$1 \frac { 2 } { 9 } \div \{ 3 - ( \frac { 5 } { 36 } + 1 \frac { 1 } { 9 } \times 06 ) \div 145 \}$$

Baholash

$$\frac{1276}{3131}\approx 0,407537528$$

Yechim qadamlari

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$\frac{\frac{9+2}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

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

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{1\times 9+1}{9}\times 0\times 6}{145}}$$

9 hosil qilish uchun 1 va 9 ni ko'paytirish.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{9+1}{9}\times 0\times 6}{145}}$$

10 olish uchun 9 va 1'ni qo'shing.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+\frac{10}{9}\times 0\times 6}{145}}$$

0 hosil qilish uchun \frac{10}{9} va 0 ni ko'paytirish.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0\times 6}{145}}$$

0 hosil qilish uchun 0 va 6 ni ko'paytirish.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}+0}{145}}$$

\frac{5}{36} olish uchun \frac{5}{36} va 0'ni qo'shing.

$$\frac{\frac{11}{9}}{3-\frac{\frac{5}{36}}{145}}$$

\frac{\frac{5}{36}}{145} ni yagona kasrga aylantiring.

$$\frac{\frac{11}{9}}{3-\frac{5}{36\times 145}}$$

5220 hosil qilish uchun 36 va 145 ni ko'paytirish.

$$\frac{\frac{11}{9}}{3-\frac{5}{5220}}$$

\frac{5}{5220} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{11}{9}}{3-\frac{1}{1044}}$$

3 ni \frac{3132}{1044} kasrga o‘giring.

$$\frac{\frac{11}{9}}{\frac{3132}{1044}-\frac{1}{1044}}$$

\frac{3132}{1044} va \frac{1}{1044} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{11}{9}}{\frac{3132-1}{1044}}$$

3131 olish uchun 3132 dan 1 ni ayirish.

$$\frac{\frac{11}{9}}{\frac{3131}{1044}}$$

\frac{11}{9} ni \frac{3131}{1044} ga bo'lish \frac{11}{9} ga k'paytirish \frac{3131}{1044} ga qaytarish.

$$\frac{11}{9}\times \frac{1044}{3131}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{9} ni \frac{1044}{3131} ga ko‘paytiring.

$$\frac{11\times 1044}{9\times 3131}$$

\frac{11\times 1044}{9\times 3131} kasridagi ko‘paytirishlarni bajaring.

$$\frac{11484}{28179}$$

\frac{11484}{28179} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1276}{3131}$$

Omil

$$\frac{2 ^ {2} \cdot 11 \cdot 29}{31 \cdot 101} = 0,407537527946343$$