(+13/4)+(-5/6)+(-11/4)+(31/3) eching

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

Baholash

$$3$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

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

7 olish uchun 4 va 3'ni qo'shing.

$$\frac{7}{4}-\frac{5}{6}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{7}{4} va \frac{5}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{21}{12}-\frac{10}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

\frac{21}{12} va \frac{10}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{21-10}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

11 olish uchun 21 dan 10 ni ayirish.

$$\frac{11}{12}-\frac{1\times 4+1}{4}+\frac{3\times 3+1}{3}$$

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{11}{12}-\frac{4+1}{4}+\frac{3\times 3+1}{3}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{11}{12}-\frac{5}{4}+\frac{3\times 3+1}{3}$$

12 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{11}{12} va \frac{5}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{12}-\frac{15}{12}+\frac{3\times 3+1}{3}$$

\frac{11}{12} va \frac{15}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11-15}{12}+\frac{3\times 3+1}{3}$$

-4 olish uchun 11 dan 15 ni ayirish.

$$\frac{-4}{12}+\frac{3\times 3+1}{3}$$

\frac{-4}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$-\frac{1}{3}+\frac{9+1}{3}$$

10 olish uchun 9 va 1'ni qo'shing.

$$-\frac{1}{3}+\frac{10}{3}$$

-\frac{1}{3} va \frac{10}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-1+10}{3}$$

9 olish uchun -1 va 10'ni qo'shing.

$$\frac{9}{3}$$

3 ni olish uchun 9 ni 3 ga bo‘ling.

$$3$$

Omil

$$3$$