Question

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

Answer 1

`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.