3/2+1/4/frac{5{6}-1/3} eching

$$\frac { \frac { 3 } { 2 } + \frac { 1 } { 4 } } { \frac { 5 } { 6 } - \frac { 1 } { 3 } }$$

Baholash

$$\frac{7}{2}=3,5$$

Yechim qadamlari

2 va 4 ning eng kichik umumiy karralisi 4 ga teng. \frac{3}{2} va \frac{1}{4} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{6}{4}+\frac{1}{4}}{\frac{5}{6}-\frac{1}{3}}$$

\frac{6}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{6+1}{4}}{\frac{5}{6}-\frac{1}{3}}$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{\frac{7}{4}}{\frac{5}{6}-\frac{1}{3}}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{6} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{7}{4}}{\frac{5}{6}-\frac{2}{6}}$$

\frac{5}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{7}{4}}{\frac{5-2}{6}}$$

3 olish uchun 5 dan 2 ni ayirish.

$$\frac{\frac{7}{4}}{\frac{3}{6}}$$

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{7}{4}}{\frac{1}{2}}$$

\frac{7}{4} ni \frac{1}{2} ga bo'lish \frac{7}{4} ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{7}{4}\times 2$$

\frac{7}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{7\times 2}{4}$$

14 hosil qilish uchun 7 va 2 ni ko'paytirish.

$$\frac{14}{4}$$

\frac{14}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{2}$$

Omil

$$\frac{7}{2} = 3\frac{1}{2} = 3,5$$