Question

express each of the following as a fraction in simplest form 2.4 bar only on 4​

Answer 1

$Let \: x = 2.\overline {4}$

$\implies x = 2.444\cdot\cdot\cdot \:--(1)$

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

$\implies 10x = 24.444\cdot\cdot\cdot \:--(2)$

/* Subtract equation (1) from equation (2), we get */

$\implies 9x = 22$

$\implies x = \frac{22}{9} \: [ \pink {\frac{p}{q} }\:form ]$

Therefore.,

$\red { 2.\overline {4}} \green { = \frac{22}{9} \: [ \pink {\frac{p}{q} }\:form ]}$

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