(5/9-1/3:3/2)+1/2*frac{5}{3} eching

$$( \frac { 5 } { 9 } - \frac { 1 } { 3 } : \frac { 3 } { 2 } ) + \frac { 1 } { 2 } \cdot \frac { 5 } { 3 }$$

Baholash

$$\frac{7}{6}\approx 1,166666667$$

Yechim qadamlari

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

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

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

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

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

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

\frac{5}{9} va \frac{2}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

3 olish uchun 5 dan 2 ni ayirish.

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

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

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

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

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

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

$$\frac{1}{3}+\frac{5}{6}$$

3 va 6 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{5}{6} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{6}+\frac{5}{6}$$

\frac{2}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+5}{6}$$

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

$$\frac{7}{6}$$

Omil

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1,1666666666666667$$