{2/3div3/4-(4/9-1/3)}*frac{3}{5} eching

$$\{ \frac { 2 } { 3 } \div \frac { 3 } { 4 } - ( \frac { 4 } { 9 } - \frac { 1 } { 3 } ) \} \times \frac { 3 } { 5 }$$

Baholash

$$\frac{7}{15}\approx 0,466666667$$

Yechim qadamlari

\frac{2}{3} ni \frac{3}{4} ga bo'lish \frac{2}{3} ga k'paytirish \frac{3}{4} ga qaytarish.

$$\left(\frac{2}{3}\times \frac{4}{3}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{4}{3} ga ko‘paytiring.

$$\left(\frac{2\times 4}{3\times 3}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

\frac{2\times 4}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\left(\frac{8}{9}-\left(\frac{4}{9}-\frac{1}{3}\right)\right)\times \frac{3}{5}$$

9 va 3 ning eng kichik umumiy karralisi 9 ga teng. \frac{4}{9} va \frac{1}{3} ni 9 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{9}-\left(\frac{4}{9}-\frac{3}{9}\right)\right)\times \frac{3}{5}$$

\frac{4}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{8}{9}-\frac{4-3}{9}\right)\times \frac{3}{5}$$

1 olish uchun 4 dan 3 ni ayirish.

$$\left(\frac{8}{9}-\frac{1}{9}\right)\times \frac{3}{5}$$

\frac{8}{9} va \frac{1}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8-1}{9}\times \frac{3}{5}$$

7 olish uchun 8 dan 1 ni ayirish.

$$\frac{7}{9}\times \frac{3}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{9} ni \frac{3}{5} ga ko‘paytiring.

$$\frac{7\times 3}{9\times 5}$$

\frac{7\times 3}{9\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{21}{45}$$

\frac{21}{45} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{15}$$

Omil

$$\frac{7}{3 \cdot 5} = 0,4666666666666667$$