-{5/7-1/9}*7/5-5/7+(-frac{2}{9}+sqrt{16})*frac{1}{9} eching

$$- \{ \frac { 5 } { 7 } - \frac { 1 } { 9 } \} \cdot \frac { 7 } { 5 } - \frac { 5 } { 7 } + ( - \frac { 2 } { 9 } + \sqrt { 16 } ) \cdot \frac { 1 } { 9 }$$

Baholash

$$-\frac{3229}{2835}\approx -1,138977072$$

Yechim qadamlari

7 va 9 ning eng kichik umumiy karralisi 63 ga teng. \frac{5}{7} va \frac{1}{9} ni 63 maxraj bilan kasrlarga aylantirib oling.

$$\left(-\left(\frac{45}{63}-\frac{7}{63}\right)\right)\times \frac{7}{5}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

\frac{45}{63} va \frac{7}{63} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(-\frac{45-7}{63}\right)\times \frac{7}{5}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

38 olish uchun 45 dan 7 ni ayirish.

$$-\frac{38}{63}\times \frac{7}{5}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{38}{63} ni \frac{7}{5} ga ko‘paytiring.

$$\frac{-38\times 7}{63\times 5}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

\frac{-38\times 7}{63\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-266}{315}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

\frac{-266}{315} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{38}{45}-\frac{5}{7}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

45 va 7 ning eng kichik umumiy karralisi 315 ga teng. -\frac{38}{45} va \frac{5}{7} ni 315 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{266}{315}-\frac{225}{315}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

-\frac{266}{315} va \frac{225}{315} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-266-225}{315}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

-491 olish uchun -266 dan 225 ni ayirish.

$$-\frac{491}{315}+\left(-\frac{2}{9}+\sqrt{16}\right)\times \frac{1}{9}$$

16 ning kvadrat ildizini hisoblab, 4 natijaga ega bo‘ling.

$$-\frac{491}{315}+\left(-\frac{2}{9}+4\right)\times \frac{1}{9}$$

4 ni \frac{36}{9} kasrga o‘giring.

$$-\frac{491}{315}+\left(-\frac{2}{9}+\frac{36}{9}\right)\times \frac{1}{9}$$

-\frac{2}{9} va \frac{36}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{491}{315}+\frac{-2+36}{9}\times \frac{1}{9}$$

34 olish uchun -2 va 36'ni qo'shing.

$$-\frac{491}{315}+\frac{34}{9}\times \frac{1}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{34}{9} ni \frac{1}{9} ga ko‘paytiring.

$$-\frac{491}{315}+\frac{34\times 1}{9\times 9}$$

\frac{34\times 1}{9\times 9} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{491}{315}+\frac{34}{81}$$

315 va 81 ning eng kichik umumiy karralisi 2835 ga teng. -\frac{491}{315} va \frac{34}{81} ni 2835 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{4419}{2835}+\frac{1190}{2835}$$

-\frac{4419}{2835} va \frac{1190}{2835} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4419+1190}{2835}$$

-3229 olish uchun -4419 va 1190'ni qo'shing.

$$-\frac{3229}{2835}$$

Omil

$$-\frac{3229}{2835} = -1\frac{394}{2835} = -1,1389770723104056$$