25/6div20/3+(3/2)^2*1/30 eching

$$\frac { 25 } { 6 } \div \frac { 20 } { 3 } + ( \frac { 3 } { 2 } ) ^ { 2 } \cdot \frac { 1 } { 30 }$$

Baholash

$$\frac{7}{10}=0,7$$

Yechim qadamlari

\frac{25}{6} ni \frac{20}{3} ga bo'lish \frac{25}{6} ga k'paytirish \frac{20}{3} ga qaytarish.

$$\frac{25}{6}\times \frac{3}{20}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{6} ni \frac{3}{20} ga ko‘paytiring.

$$\frac{25\times 3}{6\times 20}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

\frac{25\times 3}{6\times 20} kasridagi ko‘paytirishlarni bajaring.

$$\frac{75}{120}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

\frac{75}{120} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}+\left(\frac{3}{2}\right)^{2}\times \frac{1}{30}$$

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\frac{5}{8}+\frac{9}{4}\times \frac{1}{30}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{4} ni \frac{1}{30} ga ko‘paytiring.

$$\frac{5}{8}+\frac{9\times 1}{4\times 30}$$

\frac{9\times 1}{4\times 30} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{8}+\frac{9}{120}$$

\frac{9}{120} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}+\frac{3}{40}$$

8 va 40 ning eng kichik umumiy karralisi 40 ga teng. \frac{5}{8} va \frac{3}{40} ni 40 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{40}+\frac{3}{40}$$

\frac{25}{40} va \frac{3}{40} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{25+3}{40}$$

28 olish uchun 25 va 3'ni qo'shing.

$$\frac{28}{40}$$

\frac{28}{40} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{10}$$

Omil

$$\frac{7}{2 \cdot 5} = 0,7$$