Question

express 4.7bar in the rational form​

Answer 1

Answer:

Hey mate! Here's your answer:

4.7 bar = 43/9.

Step-by-step explanation:

Let 4.7 bar = n.

n = 4.777...

10n = 47.777...

10n - n = 47.777 - 4.777

9n = 43

n = 43/9.

So 4.7 bar = 43/9.

HOPE IT HELPS, PLS MARK IT AS THE BRAINLIEST AND PLS FOLLOW ME! :):):)

Answer 2

$\displaystyle \bf{ 4. \overline{7} = \frac{43}{9} }$

Which is of the rational form

Given :

The number $\displaystyle \sf{ 4. \overline{7} }$

To find :

To express in the rational form

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 4. \overline{7} }$

Step 2 of 2 :

Express in the rational form

$\displaystyle \sf{ Let \: \: x = 4. \overline{7} }$

Then x = 4.777777... - - - - - - - (1)

Multiplying both sides by 10 we get

10x = 47.777777... - - - - - - (2)

Equation 2 - Equation 1 gives

9x = 43

$\displaystyle \sf{ \implies x = \frac{43}{9} }$

$\displaystyle \sf{ \therefore \: \: 4. \overline{7} = \frac{43}{9}}$

Which is of the form p/q where p , q are integers and q ≠ 0

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The sum of 0.3 bar and 0.2 bar is

https://brainly.in/question/26672653

2. Convert 0.545454... in the form of p/q

https://brainly.in/question/22509543