7/6+4/13(2/3-1/8) eching

$$\frac { 7 } { 6 } + \frac { 4 } { 13 } ( \frac { 2 } { 3 } - \frac { 1 } { 8 } )$$

Baholash

$$\frac{4}{3}\approx 1,333333333$$

Yechim qadamlari

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{2}{3} va \frac{1}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{6}+\frac{4}{13}\left(\frac{16}{24}-\frac{3}{24}\right)$$

\frac{16}{24} va \frac{3}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7}{6}+\frac{4}{13}\times \frac{16-3}{24}$$

13 olish uchun 16 dan 3 ni ayirish.

$$\frac{7}{6}+\frac{4}{13}\times \frac{13}{24}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{13} ni \frac{13}{24} ga ko‘paytiring.

$$\frac{7}{6}+\frac{4\times 13}{13\times 24}$$

Surat va maxrajdagi ikkala 13 ni qisqartiring.

$$\frac{7}{6}+\frac{4}{24}$$

\frac{4}{24} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{6}+\frac{1}{6}$$

\frac{7}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7+1}{6}$$

8 olish uchun 7 va 1'ni qo'shing.

$$\frac{8}{6}$$

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{3}$$

Omil

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1,3333333333333333$$