Is 0.3overline{7} a rational number or an irr | vedclass

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(A) number is rational if it can be expressed in the form $p/q$,where $p$ and $q$ are integers and $q 
eq 0$. Any repeating decimal is a rational num

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Rational number

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(A) number is rational if it can be expressed in the form $p/q$,where $p$ and $q$ are integers and $q 
eq 0$. Any repeating decimal is a rational number. Let $x = 0.3\overline{7} = 0.3777...$ Multiply by $10$: $10x = 3.777...$ Multiply by $100$: $100x = 37.777...$ Subtract the two equations: $100x - 10x = 37.777... - 3.777...$ $90x = 34$ $x = 34/90 = 17/45$. Since $0.3\overline{7}$ can be expressed as $17/45$,it is a rational number.

Is $0.3\overline{7}$ a rational number or an irrational number?

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