275+275/(1+12%)^4+275/(1+12%)^8 eching

$$275 + \frac { 275 } { ( 1 + 12 \% ) ^ { 4 } } + \frac { 275 } { ( 1 + 12 \% ) ^ { 8 } }$$

Baholash

$$\frac{211884719464275}{377801998336}\approx 560,835359256$$

Yechim qadamlari

\frac{12}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$275+\frac{275}{\left(1+\frac{3}{25}\right)^{4}}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

\frac{28}{25} olish uchun 1 va \frac{3}{25}'ni qo'shing.

$$275+\frac{275}{\left(\frac{28}{25}\right)^{4}}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

4 daraja ko‘rsatkichini \frac{28}{25} ga hisoblang va \frac{614656}{390625} ni qiymatni oling.

$$275+\frac{275}{\frac{614656}{390625}}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

275 ni \frac{614656}{390625} ga bo'lish 275 ga k'paytirish \frac{614656}{390625} ga qaytarish.

$$275+275\times \frac{390625}{614656}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

\frac{107421875}{614656} hosil qilish uchun 275 va \frac{390625}{614656} ni ko'paytirish.

$$275+\frac{107421875}{614656}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

\frac{276452275}{614656} olish uchun 275 va \frac{107421875}{614656}'ni qo'shing.

$$\frac{276452275}{614656}+\frac{275}{\left(1+\frac{12}{100}\right)^{8}}$$

\frac{12}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{276452275}{614656}+\frac{275}{\left(1+\frac{3}{25}\right)^{8}}$$

\frac{28}{25} olish uchun 1 va \frac{3}{25}'ni qo'shing.

$$\frac{276452275}{614656}+\frac{275}{\left(\frac{28}{25}\right)^{8}}$$

8 daraja ko‘rsatkichini \frac{28}{25} ga hisoblang va \frac{377801998336}{152587890625} ni qiymatni oling.

$$\frac{276452275}{614656}+\frac{275}{\frac{377801998336}{152587890625}}$$

275 ni \frac{377801998336}{152587890625} ga bo'lish 275 ga k'paytirish \frac{377801998336}{152587890625} ga qaytarish.

$$\frac{276452275}{614656}+275\times \frac{152587890625}{377801998336}$$

\frac{41961669921875}{377801998336} hosil qilish uchun 275 va \frac{152587890625}{377801998336} ni ko'paytirish.

$$\frac{276452275}{614656}+\frac{41961669921875}{377801998336}$$

\frac{211884719464275}{377801998336} olish uchun \frac{276452275}{614656} va \frac{41961669921875}{377801998336}'ni qo'shing.

$$\frac{211884719464275}{377801998336}$$

Omil

$$\frac{3 \cdot 5 ^ {2} \cdot 11 \cdot 13 ^ {2} \cdot 19 \cdot 37 \cdot 709 \cdot 3049}{2 ^ {16} \cdot 7 ^ {8}} = 560\frac{315600396115}{377801998336} = 560,8353592556551$$