8/15+2/3-3/4quad1/71= eching

$$\frac { 8 } { 15 } + \frac { 2 } { 3 } - \frac { 3 } { 4 } \quad \frac { 1 } { 71 } =$$

Baholash

$$\frac{1689}{1420}\approx 1,18943662$$

Yechim qadamlari

15 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{8}{15} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{15}+\frac{10}{15}-\frac{3}{4}\times \frac{1}{71}$$

\frac{8}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+10}{15}-\frac{3}{4}\times \frac{1}{71}$$

18 olish uchun 8 va 10'ni qo'shing.

$$\frac{18}{15}-\frac{3}{4}\times \frac{1}{71}$$

\frac{18}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{6}{5}-\frac{3}{4}\times \frac{1}{71}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{1}{71} ga ko‘paytiring.

$$\frac{6}{5}-\frac{3\times 1}{4\times 71}$$

\frac{3\times 1}{4\times 71} kasridagi ko‘paytirishlarni bajaring.

$$\frac{6}{5}-\frac{3}{284}$$

5 va 284 ning eng kichik umumiy karralisi 1420 ga teng. \frac{6}{5} va \frac{3}{284} ni 1420 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1704}{1420}-\frac{15}{1420}$$

\frac{1704}{1420} va \frac{15}{1420} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1704-15}{1420}$$

1689 olish uchun 1704 dan 15 ni ayirish.

$$\frac{1689}{1420}$$

Omil

$$\frac{3 \cdot 563}{2 ^ {2} \cdot 5 \cdot 71} = 1\frac{269}{1420} = 1,18943661971831$$