37/15div11/12-38/15= eching

$$3 \frac { 7 } { 15 } \div 1 \frac { 1 } { 12 } - 3 \frac { 8 } { 15 } =$$

Baholash

$$-\frac{1}{3}\approx -0,333333333$$

Yechim qadamlari

\frac{3\times 15+7}{15} ni \frac{1\times 12+1}{12} ga bo'lish \frac{3\times 15+7}{15} ga k'paytirish \frac{1\times 12+1}{12} ga qaytarish.

$$\frac{\left(3\times 15+7\right)\times 12}{15\left(1\times 12+1\right)}-\frac{3\times 15+8}{15}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{4\left(7+3\times 15\right)}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

45 hosil qilish uchun 3 va 15 ni ko'paytirish.

$$\frac{4\left(7+45\right)}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

52 olish uchun 7 va 45'ni qo'shing.

$$\frac{4\times 52}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

208 hosil qilish uchun 4 va 52 ni ko'paytirish.

$$\frac{208}{5\left(1+12\right)}-\frac{3\times 15+8}{15}$$

13 olish uchun 1 va 12'ni qo'shing.

$$\frac{208}{5\times 13}-\frac{3\times 15+8}{15}$$

65 hosil qilish uchun 5 va 13 ni ko'paytirish.

$$\frac{208}{65}-\frac{3\times 15+8}{15}$$

\frac{208}{65} ulushini 13 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{5}-\frac{3\times 15+8}{15}$$

45 hosil qilish uchun 3 va 15 ni ko'paytirish.

$$\frac{16}{5}-\frac{45+8}{15}$$

53 olish uchun 45 va 8'ni qo'shing.

$$\frac{16}{5}-\frac{53}{15}$$

5 va 15 ning eng kichik umumiy karralisi 15 ga teng. \frac{16}{5} va \frac{53}{15} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{48}{15}-\frac{53}{15}$$

\frac{48}{15} va \frac{53}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{48-53}{15}$$

-5 olish uchun 48 dan 53 ni ayirish.

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

\frac{-5}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Omil

$$-\frac{1}{3} = -0,3333333333333333$$