(1/3)^2div(1/3+3/4)^2 eching

$$( \frac { 1 } { 3 } ) ^ { 2 } \div ( \frac { 1 } { 3 } + \frac { 3 } { 4 } ) ^ { 2 }$$

Baholash

$$\frac{16}{169}\approx 0,094674556$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{\frac{1}{9}}{\left(\frac{1}{3}+\frac{3}{4}\right)^{2}}$$

\frac{13}{12} olish uchun \frac{1}{3} va \frac{3}{4}'ni qo'shing.

$$\frac{\frac{1}{9}}{\left(\frac{13}{12}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{13}{12} ga hisoblang va \frac{169}{144} ni qiymatni oling.

$$\frac{\frac{1}{9}}{\frac{169}{144}}$$

\frac{1}{9} ni \frac{169}{144} ga bo'lish \frac{1}{9} ga k'paytirish \frac{169}{144} ga qaytarish.

$$\frac{1}{9}\times \frac{144}{169}$$

\frac{16}{169} hosil qilish uchun \frac{1}{9} va \frac{144}{169} ni ko'paytirish.

$$\frac{16}{169}$$

Omil

$$\frac{2 ^ {4}}{13 ^ {2}} = 0,09467455621301775$$