karlamiddleschool karlamiddleschool
  • 23-10-2018
  • Mathematics
contestada

Which of the following rational numbers is equal to 3 point 4 with bar over 4? 31 over 9, 32 over 9, 33 over 9, 34 over 9

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-11-2018

ANSWER


[tex]3.\bar4 =\frac{31}{9}[/tex]


EXPLANATION.

Let [tex]y=3.\bar4---(1)[/tex]


This is a recurring decimal. So we need to multiply by 10 to form a new equation that will cater for the recurring but when subtracted.


Multiply (1) by 10 to obtain,


[tex]10y=34.\bar4---(2)[/tex]


Equation (2) -equation (1) gives;


[tex]9y=31[/tex]


[tex]\Rightarrow y=\frac{31}{9}[/tex]


Hence the correct answer is A.




Answer Link
caidenwalker07 caidenwalker07
  • 16-12-2020

Answer:

31/9

Step-by-step explanation:

Answer Link

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