21/12div55/8*21/4 eching

$$2 \frac { 1 } { 12 } \div 5 \frac { 5 } { 8 } \times 2 \frac { 1 } { 4 }$$

Baholash

$$\frac{5}{6}\approx 0,833333333$$

Yechim qadamlari

\frac{2\times 12+1}{12} ni \frac{5\times 8+5}{8} ga bo'lish \frac{2\times 12+1}{12} ga k'paytirish \frac{5\times 8+5}{8} ga qaytarish.

$$\frac{\left(2\times 12+1\right)\times 8}{12\left(5\times 8+5\right)}\times \frac{2\times 4+1}{4}$$

Surat va maxrajdagi ikkala 4 ni qisqartiring.

$$\frac{2\left(1+2\times 12\right)}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

24 hosil qilish uchun 2 va 12 ni ko'paytirish.

$$\frac{2\left(1+24\right)}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

25 olish uchun 1 va 24'ni qo'shing.

$$\frac{2\times 25}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

50 hosil qilish uchun 2 va 25 ni ko'paytirish.

$$\frac{50}{3\left(5+5\times 8\right)}\times \frac{2\times 4+1}{4}$$

40 hosil qilish uchun 5 va 8 ni ko'paytirish.

$$\frac{50}{3\left(5+40\right)}\times \frac{2\times 4+1}{4}$$

45 olish uchun 5 va 40'ni qo'shing.

$$\frac{50}{3\times 45}\times \frac{2\times 4+1}{4}$$

135 hosil qilish uchun 3 va 45 ni ko'paytirish.

$$\frac{50}{135}\times \frac{2\times 4+1}{4}$$

\frac{50}{135} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{10}{27}\times \frac{2\times 4+1}{4}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{10}{27}\times \frac{8+1}{4}$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{10}{27}\times \frac{9}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{10}{27} ni \frac{9}{4} ga ko‘paytiring.

$$\frac{10\times 9}{27\times 4}$$

\frac{10\times 9}{27\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{90}{108}$$

\frac{90}{108} ulushini 18 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{6}$$

Omil

$$\frac{5}{2 \cdot 3} = 0,8333333333333334$$