0.32*3/40+3/5/0.2:2frac{1{2}-11/5}= eching

$$\frac { 0.32 \cdot \frac { 3 } { 40 } + \frac { 3 } { 5 } } { 0.2 : 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 5 } } =$$

Baholash

$$-\frac{39}{70}\approx -0,557142857$$

Yechim qadamlari

0,32 o‘nlik raqamni uning \frac{32}{100} kasrga o‘giring. \frac{32}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{8}{25}\times \frac{3}{40}+\frac{3}{5}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{25} ni \frac{3}{40} ga ko‘paytiring.

$$\frac{\frac{8\times 3}{25\times 40}+\frac{3}{5}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

\frac{8\times 3}{25\times 40} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{24}{1000}+\frac{3}{5}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

\frac{24}{1000} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{3}{125}+\frac{3}{5}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

125 va 5 ning eng kichik umumiy karralisi 125 ga teng. \frac{3}{125} va \frac{3}{5} ni 125 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{3}{125}+\frac{75}{125}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

\frac{3}{125} va \frac{75}{125} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+75}{125}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

78 olish uchun 3 va 75'ni qo'shing.

$$\frac{\frac{78}{125}}{\frac{0,2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

0,2 ni \frac{2\times 2+1}{2} ga bo'lish 0,2 ga k'paytirish \frac{2\times 2+1}{2} ga qaytarish.

$$\frac{\frac{78}{125}}{\frac{0,2\times 2}{2\times 2+1}-\frac{1\times 5+1}{5}}$$

0,4 hosil qilish uchun 0,2 va 2 ni ko'paytirish.

$$\frac{\frac{78}{125}}{\frac{0,4}{2\times 2+1}-\frac{1\times 5+1}{5}}$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$\frac{\frac{78}{125}}{\frac{0,4}{4+1}-\frac{1\times 5+1}{5}}$$

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

$$\frac{\frac{78}{125}}{\frac{0,4}{5}-\frac{1\times 5+1}{5}}$$

\frac{0,4}{5} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$\frac{\frac{78}{125}}{\frac{4}{50}-\frac{1\times 5+1}{5}}$$

\frac{4}{50} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{1\times 5+1}{5}}$$

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{5+1}{5}}$$

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

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{6}{5}}$$

25 va 5 ning eng kichik umumiy karralisi 25 ga teng. \frac{2}{25} va \frac{6}{5} ni 25 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{78}{125}}{\frac{2}{25}-\frac{30}{25}}$$

\frac{2}{25} va \frac{30}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{78}{125}}{\frac{2-30}{25}}$$

-28 olish uchun 2 dan 30 ni ayirish.

$$\frac{\frac{78}{125}}{-\frac{28}{25}}$$

\frac{78}{125} ni -\frac{28}{25} ga bo'lish \frac{78}{125} ga k'paytirish -\frac{28}{25} ga qaytarish.

$$\frac{78}{125}\left(-\frac{25}{28}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{78}{125} ni -\frac{25}{28} ga ko‘paytiring.

$$\frac{78\left(-25\right)}{125\times 28}$$

\frac{78\left(-25\right)}{125\times 28} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-1950}{3500}$$

\frac{-1950}{3500} ulushini 50 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{39}{70}$$

Omil

$$-\frac{39}{70} = -0,5571428571428572$$