3/10-51/20+2-41/4+7/15 eching

$$\frac { 3 } { 10 } - 5 \frac { 1 } { 20 } + 2 - 4 \frac { 1 } { 4 } + \frac { 7 } { 15 }$$

Baholash

$$-\frac{98}{15}\approx -6,533333333$$

Yechim qadamlari

100 hosil qilish uchun 5 va 20 ni ko'paytirish.

$$\frac{3}{10}-\frac{100+1}{20}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

101 olish uchun 100 va 1'ni qo'shing.

$$\frac{3}{10}-\frac{101}{20}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

10 va 20 ning eng kichik umumiy karralisi 20 ga teng. \frac{3}{10} va \frac{101}{20} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{6}{20}-\frac{101}{20}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

\frac{6}{20} va \frac{101}{20} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6-101}{20}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

-95 olish uchun 6 dan 101 ni ayirish.

$$\frac{-95}{20}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

\frac{-95}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{19}{4}+2-\frac{4\times 4+1}{4}+\frac{7}{15}$$

2 ni \frac{8}{4} kasrga o‘giring.

$$-\frac{19}{4}+\frac{8}{4}-\frac{4\times 4+1}{4}+\frac{7}{15}$$

-\frac{19}{4} va \frac{8}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-19+8}{4}-\frac{4\times 4+1}{4}+\frac{7}{15}$$

-11 olish uchun -19 va 8'ni qo'shing.

$$-\frac{11}{4}-\frac{4\times 4+1}{4}+\frac{7}{15}$$

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

$$-\frac{11}{4}-\frac{16+1}{4}+\frac{7}{15}$$

17 olish uchun 16 va 1'ni qo'shing.

$$-\frac{11}{4}-\frac{17}{4}+\frac{7}{15}$$

-\frac{11}{4} va \frac{17}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-11-17}{4}+\frac{7}{15}$$

-28 olish uchun -11 dan 17 ni ayirish.

$$\frac{-28}{4}+\frac{7}{15}$$

-7 ni olish uchun -28 ni 4 ga bo‘ling.

$$-7+\frac{7}{15}$$

-7 ni -\frac{105}{15} kasrga o‘giring.

$$-\frac{105}{15}+\frac{7}{15}$$

-\frac{105}{15} va \frac{7}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-105+7}{15}$$

-98 olish uchun -105 va 7'ni qo'shing.

$$-\frac{98}{15}$$

Omil

$$-\frac{98}{15} = -6\frac{8}{15} = -6,533333333333333$$