Question

let *be an operation defined on the set of rational number by a*b=ab/4.find the identity element​

Answer 1

$Given \: a\ast b = \frac{ab}{4}$

$e \:is \:the \: identity \:of \: \ast \: if$

$\boxed{\pink{ a\ast e = e \ast a = a }}$

$\frac{ae}{4} = \frac{ea}{4} = a$

$Which \: is \: possible\:if \: e = 4$

Therefore.,

$\green {4 \: is \:the \: identity \: element \:of \:\ast }$

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