|11/15div-2*3/5div9/13 eching

$$| \frac { 11 } { 15 } \div - 2 \cdot \frac { 3 } { 5 } \div \frac { 9 } { 13 }$$

Baholash

$$\frac{143}{450}\approx 0,317777778$$

Yechim qadamlari

\frac{\frac{11}{15}}{-2} ni yagona kasrga aylantiring.

$$|\frac{\frac{11}{15\left(-2\right)}\times \frac{3}{5}}{\frac{9}{13}}|$$

-30 hosil qilish uchun 15 va -2 ni ko'paytirish.

$$|\frac{\frac{11}{-30}\times \frac{3}{5}}{\frac{9}{13}}|$$

\frac{11}{-30} kasri manfiy belgini olib tashlash bilan -\frac{11}{30} sifatida qayta yozilishi mumkin.

$$|\frac{-\frac{11}{30}\times \frac{3}{5}}{\frac{9}{13}}|$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{30} ni \frac{3}{5} ga ko‘paytiring.

$$|\frac{\frac{-11\times 3}{30\times 5}}{\frac{9}{13}}|$$

\frac{-11\times 3}{30\times 5} kasridagi ko‘paytirishlarni bajaring.

$$|\frac{\frac{-33}{150}}{\frac{9}{13}}|$$

\frac{-33}{150} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$|\frac{-\frac{11}{50}}{\frac{9}{13}}|$$

-\frac{11}{50} ni \frac{9}{13} ga bo'lish -\frac{11}{50} ga k'paytirish \frac{9}{13} ga qaytarish.

$$|-\frac{11}{50}\times \frac{13}{9}|$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{50} ni \frac{13}{9} ga ko‘paytiring.

$$|\frac{-11\times 13}{50\times 9}|$$

\frac{-11\times 13}{50\times 9} kasridagi ko‘paytirishlarni bajaring.

$$|\frac{-143}{450}|$$

\frac{-143}{450} kasri manfiy belgini olib tashlash bilan -\frac{143}{450} sifatida qayta yozilishi mumkin.

$$|-\frac{143}{450}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{143}{450} ning mutloq qiymati \frac{143}{450} ga teng.

$$\frac{143}{450}$$

Omil

$$\frac{11 \cdot 13}{2 \cdot 3 ^ {2} \cdot 5 ^ {2}} = 0,31777777777777777$$