Question

Represent 3.67777777 in rational form

Answer 1

$\textbf{Concept used:}$

$\text{A number of the form \frac{p}{q} where p and q are integers, q\neq\,0 }$

$\text{is called a rational number}$

$\text{Let x=3.67777.........}$

$\text{Multiply bothsides by 10, we get}$

$\text{10x=36.777777.........}$..(1)

$\text{Multiply bothsides by 100, we get}$

$\text{100x=367.77777.........}$..(2)

$\text{Subtract (1) from (2), we get}$

$90x=331$

$\implies\bf\,x=\displaystyle\frac{331}{90}$

$\therefore\textbf{The rational form of 3.677......is \displaystyle\frac{331}{90} }$

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Express 5.25bar in p/q form where q not equal to 0 p and q are co-primes

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Answer 2

Step-by-step explanation:

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