1/{left(frac{8{6}right)}^2}-1/{left(frac{7{6}right)}^2}= eching

$$\frac{ 1 }{ { \left( \frac{ 8 }{ 6 } \right) }^{ 2 } } - \frac{ 1 }{ { \left( \frac{ 7 }{ 6 } \right) }^{ 2 } } =$$

Baholash

$$-\frac{135}{784}\approx -0,172193878$$

Yechim qadamlari

\frac{8}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{\left(\frac{4}{3}\right)^{2}}-\frac{1}{\left(\frac{7}{6}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{4}{3} ga hisoblang va \frac{16}{9} ni qiymatni oling.

$$\frac{1}{\frac{16}{9}}-\frac{1}{\left(\frac{7}{6}\right)^{2}}$$

1 ni \frac{16}{9} ga bo'lish 1 ga k'paytirish \frac{16}{9} ga qaytarish.

$$1\times \frac{9}{16}-\frac{1}{\left(\frac{7}{6}\right)^{2}}$$

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

$$\frac{9}{16}-\frac{1}{\left(\frac{7}{6}\right)^{2}}$$

2 daraja ko‘rsatkichini \frac{7}{6} ga hisoblang va \frac{49}{36} ni qiymatni oling.

$$\frac{9}{16}-\frac{1}{\frac{49}{36}}$$

1 ni \frac{49}{36} ga bo'lish 1 ga k'paytirish \frac{49}{36} ga qaytarish.

$$\frac{9}{16}-1\times \frac{36}{49}$$

\frac{36}{49} hosil qilish uchun 1 va \frac{36}{49} ni ko'paytirish.

$$\frac{9}{16}-\frac{36}{49}$$

-\frac{135}{784} olish uchun \frac{9}{16} dan \frac{36}{49} ni ayirish.

$$-\frac{135}{784}$$

Omil

$$-\frac{135}{784} = -0,17219387755102042$$