(1/2-1/3)div5/18+1/3+frac{1}{6} eching

$$( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) \div \frac { 5 } { 18 } + \frac { 1 } { 3 } + \frac { 1 } { 6 }$$

Baholash

$$\frac{11}{10}=1,1$$

Yechim qadamlari

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{2} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{6}-\frac{2}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

\frac{3}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3-2}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

1 olish uchun 3 dan 2 ni ayirish.

$$\frac{\frac{1}{6}}{\frac{5}{18}}+\frac{1}{3}+\frac{1}{6}$$

\frac{1}{6} ni \frac{5}{18} ga bo'lish \frac{1}{6} ga k'paytirish \frac{5}{18} ga qaytarish.

$$\frac{1}{6}\times \frac{18}{5}+\frac{1}{3}+\frac{1}{6}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{6} ni \frac{18}{5} ga ko‘paytiring.

$$\frac{1\times 18}{6\times 5}+\frac{1}{3}+\frac{1}{6}$$

\frac{1\times 18}{6\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{18}{30}+\frac{1}{3}+\frac{1}{6}$$

\frac{18}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{3}{5} va \frac{1}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{15}+\frac{5}{15}+\frac{1}{6}$$

\frac{9}{15} va \frac{5}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9+5}{15}+\frac{1}{6}$$

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

$$\frac{14}{15}+\frac{1}{6}$$

15 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{14}{15} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{28}{30}+\frac{5}{30}$$

\frac{28}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{28+5}{30}$$

33 olish uchun 28 va 5'ni qo'shing.

$$\frac{33}{30}$$

\frac{33}{30} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{10}$$

Omil

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1,1$$