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

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

Baholash

$$\frac{7}{30}\approx 0,233333333$$

Yechim qadamlari

\frac{1}{6} ni \frac{1}{3} ga bo'lish \frac{1}{6} ga k'paytirish \frac{1}{3} ga qaytarish.

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

\frac{3}{6} hosil qilish uchun \frac{1}{6} va 3 ni ko'paytirish.

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

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

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

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

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

\frac{2}{5} hosil qilish uchun \frac{1}{5} va 2 ni ko'paytirish.

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

2 va 5 ning eng kichik umumiy karralisi 10 ga teng. \frac{1}{2} va \frac{2}{5} ni 10 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{10}+\frac{4}{10}-\frac{\frac{1}{3}}{\frac{1}{2}}$$

\frac{5}{10} va \frac{4}{10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+4}{10}-\frac{\frac{1}{3}}{\frac{1}{2}}$$

9 olish uchun 5 va 4'ni qo'shing.

$$\frac{9}{10}-\frac{\frac{1}{3}}{\frac{1}{2}}$$

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

$$\frac{9}{10}-\frac{1}{3}\times 2$$

\frac{2}{3} hosil qilish uchun \frac{1}{3} va 2 ni ko'paytirish.

$$\frac{9}{10}-\frac{2}{3}$$

10 va 3 ning eng kichik umumiy karralisi 30 ga teng. \frac{9}{10} va \frac{2}{3} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{27}{30}-\frac{20}{30}$$

\frac{27}{30} va \frac{20}{30} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{27-20}{30}$$

7 olish uchun 27 dan 20 ni ayirish.

$$\frac{7}{30}$$

Omil

$$\frac{7}{2 \cdot 3 \cdot 5} = 0,23333333333333334$$