Respuesta :
Answer:
Option D. 6.24=156/25
Step-by-step explanation:
A number is rational if we can write it as a fraction:
[tex]6.24=\frac{624}{100}[/tex]
Simplifying the fraction dividing the numerator and the denominator by 4:
[tex]6.24=\frac{624/4}{100/4}\\ 6.24=\frac{156}{25}[/tex]
Answer:
Option C.
Step-by-step explanation:
Rational number: If a number expressed as p/q, where p and q are integers and q≠0.
Consider the given number is
[tex]6.\overline{24}[/tex]
It can be rewritten as
[tex]x=6.\overline{24}[/tex]
[tex]x=6.242424...[/tex] ... (1)
Multiply both sides 100.
[tex]100x=624.242424...[/tex] ... (2)
Subtract (1) from (2).
[tex]100x-x=624.242424...-6.242424...[/tex]
[tex]99x=618[/tex]
[tex]x=\dfrac{618}{99}[/tex]
[tex]x=\dfrac{203}{33}[/tex]
[tex]x=6\dfrac{8}{33}[/tex]
Therefore, the correct option is C.
