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

Question

asked Apr 28, 2019 148k views

1 Answer

Tyshawn · Answer 1 · 2019-05-02T22:54:10+0000

ANSWER

$3.\bar4 =(31)/(9)$

EXPLANATION.

Let
$y=3.\bar4---(1)$

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,

$10y=34.\bar4---(2)$

Equation (2) -equation (1) gives;

9y=31

$\Rightarrow y=(31)/(9)$

Hence the correct answer is A.