3/4*5/6+7/8:9/2= eching

$$\frac { 3 } { 4 } \cdot \frac { 5 } { 6 } + \frac { 7 } { 8 } : \frac { 9 } { 2 } =$$

Baholash

$$\frac{59}{72}\approx 0,819444444$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{5}{6} ga ko‘paytiring.

$$\frac{3\times 5}{4\times 6}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

\frac{3\times 5}{4\times 6} kasridagi ko‘paytirishlarni bajaring.

$$\frac{15}{24}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

\frac{15}{24} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}+\frac{\frac{7}{8}}{\frac{9}{2}}$$

\frac{7}{8} ni \frac{9}{2} ga bo'lish \frac{7}{8} ga k'paytirish \frac{9}{2} ga qaytarish.

$$\frac{5}{8}+\frac{7}{8}\times \frac{2}{9}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{8} ni \frac{2}{9} ga ko‘paytiring.

$$\frac{5}{8}+\frac{7\times 2}{8\times 9}$$

\frac{7\times 2}{8\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{5}{8}+\frac{14}{72}$$

\frac{14}{72} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}+\frac{7}{36}$$

8 va 36 ning eng kichik umumiy karralisi 72 ga teng. \frac{5}{8} va \frac{7}{36} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{45}{72}+\frac{14}{72}$$

\frac{45}{72} va \frac{14}{72} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{45+14}{72}$$

59 olish uchun 45 va 14'ni qo'shing.

$$\frac{59}{72}$$

Omil

$$\frac{59}{2 ^ {3} \cdot 3 ^ {2}} = 0,8194444444444444$$