1+1/3*3/5/frac{1{3}-3/5} eching

$$\frac { 1 + \frac { 1 } { 3 } \cdot \frac { 3 } { 5 } } { \frac { 1 } { 3 } - \frac { 3 } { 5 } }$$

Baholash

$$-\frac{9}{2}=-4,5$$

Yechim qadamlari

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

$$\frac{1+\frac{1\times 3}{3\times 5}}{\frac{1}{3}-\frac{3}{5}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{1+\frac{1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

1 ni \frac{5}{5} kasrga o‘giring.

$$\frac{\frac{5}{5}+\frac{1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

\frac{5}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5+1}{5}}{\frac{1}{3}-\frac{3}{5}}$$

6 olish uchun 5 va 1'ni qo'shing.

$$\frac{\frac{6}{5}}{\frac{1}{3}-\frac{3}{5}}$$

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

$$\frac{\frac{6}{5}}{\frac{5}{15}-\frac{9}{15}}$$

\frac{5}{15} va \frac{9}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{6}{5}}{\frac{5-9}{15}}$$

-4 olish uchun 5 dan 9 ni ayirish.

$$\frac{\frac{6}{5}}{-\frac{4}{15}}$$

\frac{6}{5} ni -\frac{4}{15} ga bo'lish \frac{6}{5} ga k'paytirish -\frac{4}{15} ga qaytarish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{6}{5} ni -\frac{15}{4} ga ko‘paytiring.

$$\frac{6\left(-15\right)}{5\times 4}$$

\frac{6\left(-15\right)}{5\times 4} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-90}{20}$$

\frac{-90}{20} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{9}{2}$$

Omil

$$-\frac{9}{2} = -4\frac{1}{2} = -4,5$$