-4/12divfrac{3{4}+5/12*4/3} eching

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

Baholash

$$-\frac{36}{149}\approx -0,241610738$$

Yechim qadamlari

12 ni \frac{3}{4} ga bo'lish 12 ga k'paytirish \frac{3}{4} ga qaytarish.

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

12\times \frac{4}{3} ni yagona kasrga aylantiring.

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

48 hosil qilish uchun 12 va 4 ni ko'paytirish.

$$\frac{-4}{\frac{48}{3}+\frac{5}{12}\times \frac{4}{3}}$$

16 ni olish uchun 48 ni 3 ga bo‘ling.

$$\frac{-4}{16+\frac{5}{12}\times \frac{4}{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{12} ni \frac{4}{3} ga ko‘paytiring.

$$\frac{-4}{16+\frac{5\times 4}{12\times 3}}$$

\frac{5\times 4}{12\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-4}{16+\frac{20}{36}}$$

\frac{20}{36} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-4}{16+\frac{5}{9}}$$

16 ni \frac{144}{9} kasrga o‘giring.

$$\frac{-4}{\frac{144}{9}+\frac{5}{9}}$$

\frac{144}{9} va \frac{5}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4}{\frac{144+5}{9}}$$

149 olish uchun 144 va 5'ni qo'shing.

$$\frac{-4}{\frac{149}{9}}$$

-4 ni \frac{149}{9} ga bo'lish -4 ga k'paytirish \frac{149}{9} ga qaytarish.

$$-4\times \frac{9}{149}$$

-4\times \frac{9}{149} ni yagona kasrga aylantiring.

$$\frac{-4\times 9}{149}$$

-36 hosil qilish uchun -4 va 9 ni ko'paytirish.

$$\frac{-36}{149}$$

\frac{-36}{149} kasri manfiy belgini olib tashlash bilan -\frac{36}{149} sifatida qayta yozilishi mumkin.

$$-\frac{36}{149}$$

Omil

$$-\frac{36}{149} = -0,24161073825503357$$