8/9+1/5/frac{5{6}+1/2} eching

$$\frac { \frac { 8 } { 9 } + \frac { 1 } { 5 } } { \frac { 5 } { 6 } + \frac { 1 } { 2 } }$$

Baholash

$$\frac{49}{60}\approx 0,816666667$$

Yechim qadamlari

9 va 5 ning eng kichik umumiy karralisi 45 ga teng. \frac{8}{9} va \frac{1}{5} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{40}{45}+\frac{9}{45}}{\frac{5}{6}+\frac{1}{2}}$$

\frac{40}{45} va \frac{9}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{40+9}{45}}{\frac{5}{6}+\frac{1}{2}}$$

49 olish uchun 40 va 9'ni qo'shing.

$$\frac{\frac{49}{45}}{\frac{5}{6}+\frac{1}{2}}$$

6 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{6} va \frac{1}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{49}{45}}{\frac{5}{6}+\frac{3}{6}}$$

\frac{5}{6} va \frac{3}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{49}{45}}{\frac{5+3}{6}}$$

8 olish uchun 5 va 3'ni qo'shing.

$$\frac{\frac{49}{45}}{\frac{8}{6}}$$

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{49}{45}}{\frac{4}{3}}$$

\frac{49}{45} ni \frac{4}{3} ga bo'lish \frac{49}{45} ga k'paytirish \frac{4}{3} ga qaytarish.

$$\frac{49}{45}\times \frac{3}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{49}{45} ni \frac{3}{4} ga ko‘paytiring.

$$\frac{49\times 3}{45\times 4}$$

\frac{49\times 3}{45\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{147}{180}$$

\frac{147}{180} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{49}{60}$$

Omil

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 0,8166666666666667$$