125/100-(075-6/10*25/90)div42/90 eching

$$\frac{ 125 }{ 100 } -(075- \frac{ 6 }{ 10 } \times \frac{ 25 }{ 90 } ) \div \frac{ 42 }{ 90 }$$

Baholash

$$\frac{45}{28}\approx 1,607142857$$

Yechim qadamlari

\frac{125}{100} ulushini 25 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\frac{0\times 75-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

0 hosil qilish uchun 0 va 75 ni ko'paytirish.

$$\frac{5}{4}-\frac{0-\frac{6}{10}\times \frac{25}{90}}{\frac{42}{90}}$$

\frac{6}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{25}{90}}{\frac{42}{90}}$$

\frac{25}{90} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\frac{0-\frac{3}{5}\times \frac{5}{18}}{\frac{42}{90}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{5} ni \frac{5}{18} ga ko‘paytiring.

$$\frac{5}{4}-\frac{0-\frac{3\times 5}{5\times 18}}{\frac{42}{90}}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$\frac{5}{4}-\frac{0-\frac{3}{18}}{\frac{42}{90}}$$

\frac{3}{18} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\frac{0-\frac{1}{6}}{\frac{42}{90}}$$

-\frac{1}{6} olish uchun 0 dan \frac{1}{6} ni ayirish.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{42}{90}}$$

\frac{42}{90} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\frac{-\frac{1}{6}}{\frac{7}{15}}$$

-\frac{1}{6} ni \frac{7}{15} ga bo'lish -\frac{1}{6} ga k'paytirish \frac{7}{15} ga qaytarish.

$$\frac{5}{4}-\left(-\frac{1}{6}\times \frac{15}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{6} ni \frac{15}{7} ga ko‘paytiring.

$$\frac{5}{4}-\frac{-15}{6\times 7}$$

\frac{-15}{6\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{4}-\frac{-15}{42}$$

\frac{-15}{42} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{4}-\left(-\frac{5}{14}\right)$$

-\frac{5}{14} ning teskarisi \frac{5}{14} ga teng.

$$\frac{5}{4}+\frac{5}{14}$$

4 va 14 ning eng kichik umumiy karralisi 28 ga teng. \frac{5}{4} va \frac{5}{14} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{35}{28}+\frac{10}{28}$$

\frac{35}{28} va \frac{10}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{35+10}{28}$$

45 olish uchun 35 va 10'ni qo'shing.

$$\frac{45}{28}$$

Omil

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1,6071428571428572$$