3/5+25/7(-3/12)+(-5/12)=? eching

$$\frac { 3 } { 5 } + \frac { 25 } { 7 } ( - \frac { 3 } { 12 } ) + ( - \frac { 5 } { 12 } ) = ?$$

Baholash

$$-\frac{149}{210}\approx -0,70952381$$

Yechim qadamlari

\frac{3}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{25}{7}\left(-\frac{1}{4}\right)-\frac{5}{12}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{7} ni -\frac{1}{4} ga ko‘paytiring.

$$\frac{3}{5}+\frac{25\left(-1\right)}{7\times 4}-\frac{5}{12}$$

\frac{25\left(-1\right)}{7\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{5}+\frac{-25}{28}-\frac{5}{12}$$

\frac{-25}{28} kasri manfiy belgini olib tashlash bilan -\frac{25}{28} sifatida qayta yozilishi mumkin.

$$\frac{3}{5}-\frac{25}{28}-\frac{5}{12}$$

5 va 28 ning eng kichik umumiy karralisi 140 ga teng. \frac{3}{5} va \frac{25}{28} ni 140 maxraj bilan kasrlarga aylantirib oling.

$$\frac{84}{140}-\frac{125}{140}-\frac{5}{12}$$

\frac{84}{140} va \frac{125}{140} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{84-125}{140}-\frac{5}{12}$$

-41 olish uchun 84 dan 125 ni ayirish.

$$-\frac{41}{140}-\frac{5}{12}$$

140 va 12 ning eng kichik umumiy karralisi 420 ga teng. -\frac{41}{140} va \frac{5}{12} ni 420 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{123}{420}-\frac{175}{420}$$

-\frac{123}{420} va \frac{175}{420} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-123-175}{420}$$

-298 olish uchun -123 dan 175 ni ayirish.

$$\frac{-298}{420}$$

\frac{-298}{420} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{149}{210}$$

Omil

$$-\frac{149}{210} = -0,7095238095238096$$