2/3-3/4*4/11+1/3divfrac{3}{7} eching

$$\frac { 2 } { 3 } - \frac { 3 } { 4 } \times \frac { 4 } { 11 } + \frac { 1 } { 3 } \div \frac { 3 } { 7 }$$

Baholash

$$\frac{116}{99}\approx 1,171717172$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{4}{11} ga ko‘paytiring.

$$\frac{2}{3}-\frac{3\times 4}{4\times 11}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

$$\frac{2}{3}-\frac{3}{11}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

3 va 11 ning eng kichik umumiy karralisi 33 ga teng. \frac{2}{3} va \frac{3}{11} ni 33 maxraj bilan kasrlarga aylantirib oling.

$$\frac{22}{33}-\frac{9}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

\frac{22}{33} va \frac{9}{33} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{22-9}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

13 olish uchun 22 dan 9 ni ayirish.

$$\frac{13}{33}+\frac{\frac{1}{3}}{\frac{3}{7}}$$

\frac{1}{3} ni \frac{3}{7} ga bo'lish \frac{1}{3} ga k'paytirish \frac{3}{7} ga qaytarish.

$$\frac{13}{33}+\frac{1}{3}\times \frac{7}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{7}{3} ga ko‘paytiring.

$$\frac{13}{33}+\frac{1\times 7}{3\times 3}$$

\frac{1\times 7}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{13}{33}+\frac{7}{9}$$

33 va 9 ning eng kichik umumiy karralisi 99 ga teng. \frac{13}{33} va \frac{7}{9} ni 99 maxraj bilan kasrlarga aylantirib oling.

$$\frac{39}{99}+\frac{77}{99}$$

\frac{39}{99} va \frac{77}{99} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{39+77}{99}$$

116 olish uchun 39 va 77'ni qo'shing.

$$\frac{116}{99}$$

Omil

$$\frac{2 ^ {2} \cdot 29}{3 ^ {2} \cdot 11} = 1\frac{17}{99} = 1,1717171717171717$$