(3/5+1/6)div(1/3+1/5) eching

$$( \frac{ 3 }{ 5 } + \frac{ 1 }{ 6 } ) \div ( \frac{ 1 }{ 3 } + \frac{ 1 }{ 5 } )$$

Baholash

$$\frac{23}{16}=1,4375$$

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.

$$\frac{\frac{18}{30}+\frac{5}{30}}{\frac{1}{3}+\frac{1}{5}}$$

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

$$\frac{\frac{18+5}{30}}{\frac{1}{3}+\frac{1}{5}}$$

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

$$\frac{\frac{23}{30}}{\frac{1}{3}+\frac{1}{5}}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{3} va \frac{1}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{23}{30}}{\frac{5}{15}+\frac{3}{15}}$$

\frac{5}{15} va \frac{3}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{23}{30}}{\frac{5+3}{15}}$$

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

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

\frac{23}{30} ni \frac{8}{15} ga bo'lish \frac{23}{30} ga k'paytirish \frac{8}{15} ga qaytarish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{23}{30} ni \frac{15}{8} ga ko‘paytiring.

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

\frac{23\times 15}{30\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{345}{240}$$

\frac{345}{240} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{23}{16}$$

Omil

$$\frac{23}{2 ^ {4}} = 1\frac{7}{16} = 1,4375$$