Question

Express the following decimals in the form p/q 6.245 bar on 45​

Answer 1

Answer:

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Answer 2

$Let \: x = 6.2\bar {45} \: --(1)$

/* Multiplying equation (1) by 10, we get */

$\implies 10x = 62. \bar{45} \: --(2)$

/* Multiplying equation (2) by 100, we get */

$\implies 1000x = 6245. \bar{45} \: --(3)$

/* Subtract equation (2) from equation (3) , we get */

$\implies 990x = 6183$

$\implies x = \frac{6183}{990}$

$\implies x = \frac{9 \times 687}{9 \times 110}$

$\implies x = \frac{ 687}{ 110} \: \pink { ( \frac{p}{q} \:form )}$

Therefore.,

$\red{ \frac{p}{q} \:form \:of \: 6.2\bar{45}}$

$\green { = \frac{ 687}{ 110}}$

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