1/5*2/3-12/3div22/9 eching

$$\frac { 1 } { 5 } \times \frac { 2 } { 3 } - 1 \frac { 2 } { 3 } \div 2 \frac { 2 } { 9 }$$

Baholash

$$-\frac{37}{60}\approx -0,616666667$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{1\times 2}{5\times 3}-\frac{\frac{1\times 3+2}{3}}{\frac{2\times 9+2}{9}}$$

\frac{1\times 2}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{15}-\frac{\frac{1\times 3+2}{3}}{\frac{2\times 9+2}{9}}$$

\frac{1\times 3+2}{3} ni \frac{2\times 9+2}{9} ga bo'lish \frac{1\times 3+2}{3} ga k'paytirish \frac{2\times 9+2}{9} ga qaytarish.

$$\frac{2}{15}-\frac{\left(1\times 3+2\right)\times 9}{3\left(2\times 9+2\right)}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{2}{15}-\frac{3\left(2+3\right)}{2+2\times 9}$$

5 olish uchun 2 va 3'ni qo'shing.

$$\frac{2}{15}-\frac{3\times 5}{2+2\times 9}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{2}{15}-\frac{15}{2+2\times 9}$$

18 hosil qilish uchun 2 va 9 ni ko'paytirish.

$$\frac{2}{15}-\frac{15}{2+18}$$

20 olish uchun 2 va 18'ni qo'shing.

$$\frac{2}{15}-\frac{15}{20}$$

\frac{15}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{2}{15}-\frac{3}{4}$$

15 va 4 ning eng kichik umumiy karralisi 60 ga teng. \frac{2}{15} va \frac{3}{4} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{60}-\frac{45}{60}$$

\frac{8}{60} va \frac{45}{60} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8-45}{60}$$

-37 olish uchun 8 dan 45 ni ayirish.

$$-\frac{37}{60}$$

Omil

$$-\frac{37}{60} = -0,6166666666666667$$