(42/5-17/8)div3/10*1/2 eching

$$( 4 \frac { 2 } { 5 } - 1 \frac { 7 } { 8 } ) \div \frac { 3 } { 10 } \times \frac { 1 } { 2 }$$

Baholash

$$\frac{101}{24}\approx 4,208333333$$

Yechim qadamlari

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\frac{\frac{20+2}{5}-\frac{1\times 8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

22 olish uchun 20 va 2'ni qo'shing.

$$\frac{\frac{22}{5}-\frac{1\times 8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$\frac{\frac{22}{5}-\frac{8+7}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

15 olish uchun 8 va 7'ni qo'shing.

$$\frac{\frac{22}{5}-\frac{15}{8}}{\frac{3}{10}}\times \frac{1}{2}$$

5 va 8 ning eng kichik umumiy karralisi 40 ga teng. \frac{22}{5} va \frac{15}{8} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{176}{40}-\frac{75}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

\frac{176}{40} va \frac{75}{40} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{176-75}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

101 olish uchun 176 dan 75 ni ayirish.

$$\frac{\frac{101}{40}}{\frac{3}{10}}\times \frac{1}{2}$$

\frac{101}{40} ni \frac{3}{10} ga bo'lish \frac{101}{40} ga k'paytirish \frac{3}{10} ga qaytarish.

$$\frac{101}{40}\times \frac{10}{3}\times \frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{101}{40} ni \frac{10}{3} ga ko‘paytiring.

$$\frac{101\times 10}{40\times 3}\times \frac{1}{2}$$

\frac{101\times 10}{40\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1010}{120}\times \frac{1}{2}$$

\frac{1010}{120} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{101}{12}\times \frac{1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{101}{12} ni \frac{1}{2} ga ko‘paytiring.

$$\frac{101\times 1}{12\times 2}$$

\frac{101\times 1}{12\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{101}{24}$$

Omil

$$\frac{101}{2 ^ {3} \cdot 3} = 4\frac{5}{24} = 4,208333333333333$$