8/15div[(3/5+1/6)*4/23]= eching

$$\frac { 8 } { 15 } \div [ ( \frac { 3 } { 5 } + \frac { 1 } { 6 } ) \times \frac { 4 } { 23 } ] =$$

Baholash

$$4$$

Yechim qadamlari

5 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{3}{5} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{8}{15}}{\left(\frac{18}{30}+\frac{5}{30}\right)\times \frac{4}{23}}$$

\frac{18}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8}{15}}{\frac{18+5}{30}\times \frac{4}{23}}$$

23 olish uchun 18 va 5'ni qo'shing.

$$\frac{\frac{8}{15}}{\frac{23}{30}\times \frac{4}{23}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{23}{30} ni \frac{4}{23} ga ko‘paytiring.

$$\frac{\frac{8}{15}}{\frac{23\times 4}{30\times 23}}$$

Surat va maxrajdagi ikkala 23 ni qisqartiring.

$$\frac{\frac{8}{15}}{\frac{4}{30}}$$

\frac{4}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{8}{15}}{\frac{2}{15}}$$

\frac{8}{15} ni \frac{2}{15} ga bo'lish \frac{8}{15} ga k'paytirish \frac{2}{15} ga qaytarish.

$$\frac{8}{15}\times \frac{15}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{15} ni \frac{15}{2} ga ko‘paytiring.

$$\frac{8\times 15}{15\times 2}$$

Surat va maxrajdagi ikkala 15 ni qisqartiring.

$$\frac{8}{2}$$

4 ni olish uchun 8 ni 2 ga bo‘ling.

$$4$$

Omil

$$2^{2}$$