Question

expres the following decimal in the form p/q
(1) 4.54 (4 on bar )



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Answer 1

$\tt We\:have\:to\:express\: 4.5 \bar{4} \: in \: \frac{p}{q} \\ \\ \tt Let\:x = 4.5 \bar{4} \\ \\ \tt \implies x = 4.5444 \:\:\:\:\:\: ...(1) \\ \\ \tt Multiplying \: by \: 10 \\ \\ \tt \implies 10x= 45.444 \:\:\:\:\:\: ...(2) \\ \\ \tt Subtracting \: (1)\:from\:(2) \\ \\ \tt \implies 9x = 40.9 \\ \\ \tt \implies x = \frac{409}{9} \\ \\ \tt \implies x = \frac{409}{90} \\ \\ \tt \therefore \boxed{\bold{\underline{\red{\tt x = \frac{409}{90} }}}}$

Answer 2

Step-by-step explanation:

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