27/36div(63/4+23/16) eching

$$2 \frac { 7 } { 36 } \div ( 6 \frac { 3 } { 4 } + 2 \frac { 3 } { 16 } )$$

Baholash

$$\frac{316}{1287}\approx 0,245532246$$

Yechim qadamlari

72 hosil qilish uchun 2 va 36 ni ko'paytirish.

$$\frac{\frac{72+7}{36}}{\frac{6\times 4+3}{4}+\frac{2\times 16+3}{16}}$$

79 olish uchun 72 va 7'ni qo'shing.

$$\frac{\frac{79}{36}}{\frac{6\times 4+3}{4}+\frac{2\times 16+3}{16}}$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$\frac{\frac{79}{36}}{\frac{24+3}{4}+\frac{2\times 16+3}{16}}$$

27 olish uchun 24 va 3'ni qo'shing.

$$\frac{\frac{79}{36}}{\frac{27}{4}+\frac{2\times 16+3}{16}}$$

32 hosil qilish uchun 2 va 16 ni ko'paytirish.

$$\frac{\frac{79}{36}}{\frac{27}{4}+\frac{32+3}{16}}$$

35 olish uchun 32 va 3'ni qo'shing.

$$\frac{\frac{79}{36}}{\frac{27}{4}+\frac{35}{16}}$$

4 va 16 ning eng kichik umumiy karralisi 16 ga teng. \frac{27}{4} va \frac{35}{16} ni 16 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{79}{36}}{\frac{108}{16}+\frac{35}{16}}$$

\frac{108}{16} va \frac{35}{16} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{79}{36}}{\frac{108+35}{16}}$$

143 olish uchun 108 va 35'ni qo'shing.

$$\frac{\frac{79}{36}}{\frac{143}{16}}$$

\frac{79}{36} ni \frac{143}{16} ga bo'lish \frac{79}{36} ga k'paytirish \frac{143}{16} ga qaytarish.

$$\frac{79}{36}\times \frac{16}{143}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{79}{36} ni \frac{16}{143} ga ko‘paytiring.

$$\frac{79\times 16}{36\times 143}$$

\frac{79\times 16}{36\times 143} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1264}{5148}$$

\frac{1264}{5148} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{316}{1287}$$

Omil

$$\frac{2 ^ {2} \cdot 79}{3 ^ {2} \cdot 11 \cdot 13} = 0,24553224553224554$$