3/5+1/3text{of}6/5-(1/5+frac{4}{3}) eching

$$\frac { 3 } { 5 } + \frac { 1 } { 3 } \text { of } \frac { 6 } { 5 } - ( \frac { 1 } { 5 } + \frac { 4 } { 3 } )$$

Baholash

$$-\frac{8}{15}\approx -0,533333333$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{6}{5} ga ko‘paytiring.

$$\frac{3}{5}+\frac{1\times 6}{3\times 5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

\frac{1\times 6}{3\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{5}+\frac{6}{15}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

\frac{6}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{5}+\frac{2}{5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

\frac{3}{5} va \frac{2}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+2}{5}-\left(\frac{1}{5}+\frac{4}{3}\right)$$

5 olish uchun 3 va 2'ni qo'shing.

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

1 ni olish uchun 5 ni 5 ga bo‘ling.

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

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{5} va \frac{4}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$1-\left(\frac{3}{15}+\frac{20}{15}\right)$$

\frac{3}{15} va \frac{20}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1-\frac{3+20}{15}$$

23 olish uchun 3 va 20'ni qo'shing.

$$1-\frac{23}{15}$$

1 ni \frac{15}{15} kasrga o‘giring.

$$\frac{15}{15}-\frac{23}{15}$$

\frac{15}{15} va \frac{23}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{15-23}{15}$$

-8 olish uchun 15 dan 23 ni ayirish.

$$-\frac{8}{15}$$

Omil

$$-\frac{8}{15} = -0,5333333333333333$$