5/2(20/9)-5/6(20/9) eching

$$\frac{ 5 }{ 2 } ( \frac{ 20 }{ 9 } )- \frac{ 5 }{ 6 } ( \frac{ 20 }{ 9 } )$$

Baholash

$$\frac{100}{27}\approx 3,703703704$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2} ni \frac{20}{9} ga ko‘paytiring.

$$\frac{5\times 20}{2\times 9}-\frac{5}{6}\times \frac{20}{9}$$

\frac{5\times 20}{2\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{100}{18}-\frac{5}{6}\times \frac{20}{9}$$

\frac{100}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{50}{9}-\frac{5}{6}\times \frac{20}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{20}{9} ga ko‘paytiring.

$$\frac{50}{9}-\frac{5\times 20}{6\times 9}$$

\frac{5\times 20}{6\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{50}{9}-\frac{100}{54}$$

\frac{100}{54} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{50}{9}-\frac{50}{27}$$

9 va 27 ning eng kichik umumiy karralisi 27 ga teng. \frac{50}{9} va \frac{50}{27} ni 27 maxraj bilan kasrlarga aylantirib oling.

$$\frac{150}{27}-\frac{50}{27}$$

\frac{150}{27} va \frac{50}{27} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{150-50}{27}$$

100 olish uchun 150 dan 50 ni ayirish.

$$\frac{100}{27}$$

Omil

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {3}} = 3\frac{19}{27} = 3,7037037037037037$$