(11/4*1/5+25/6*1/5)divfrac{7}{10} eching

$$( 1 \frac { 1 } { 4 } \times \frac { 1 } { 5 } + 2 \frac { 5 } { 6 } \times \frac { 1 } { 5 } ) \div \frac { 7 } { 10 }$$

Baholash

$$\frac{7}{6}\approx 1,166666667$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{\frac{4+1}{4}\times \frac{1}{5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{\frac{5}{4}\times \frac{1}{5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{4} ni \frac{1}{5} ga ko‘paytiring.

$$\frac{\frac{5\times 1}{4\times 5}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{\frac{1}{4}+\frac{2\times 6+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{\frac{1}{4}+\frac{12+5}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

17 olish uchun 12 va 5'ni qo'shing.

$$\frac{\frac{1}{4}+\frac{17}{6}\times \frac{1}{5}}{\frac{7}{10}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{17}{6} ni \frac{1}{5} ga ko‘paytiring.

$$\frac{\frac{1}{4}+\frac{17\times 1}{6\times 5}}{\frac{7}{10}}$$

\frac{17\times 1}{6\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{1}{4}+\frac{17}{30}}{\frac{7}{10}}$$

4 va 30 ning eng kichik umumiy karralisi 60 ga teng. \frac{1}{4} va \frac{17}{30} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{15}{60}+\frac{34}{60}}{\frac{7}{10}}$$

\frac{15}{60} va \frac{34}{60} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{15+34}{60}}{\frac{7}{10}}$$

49 olish uchun 15 va 34'ni qo'shing.

$$\frac{\frac{49}{60}}{\frac{7}{10}}$$

\frac{49}{60} ni \frac{7}{10} ga bo'lish \frac{49}{60} ga k'paytirish \frac{7}{10} ga qaytarish.

$$\frac{49}{60}\times \frac{10}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{60} ni \frac{10}{7} ga ko‘paytiring.

$$\frac{49\times 10}{60\times 7}$$

\frac{49\times 10}{60\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{490}{420}$$

\frac{490}{420} ulushini 70 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{6}$$

Omil

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1,1666666666666667$$