Question

Express 5.67 bar in the form of p upon q​

Answer 1

Answer:

567/100

Step-by-step explanation:

=5.67

=567/100

Now,its in the form of p/q

Answer 2

$\displaystyle \bf{ 5. \overline{67} = \frac{562}{99} }$

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

Given :

The number $\displaystyle \sf{ 5. \overline{67} }$

To find :

To express in the form p/q where p , q are integers and q ≠ 0

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 5. \overline{67} }$

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

$\displaystyle \sf{ Let \: \: x = 5. \overline{67} }$

Then x = 5.67676767... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 567.67676767... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 562

$\displaystyle \sf{ \implies x = \frac{562}{99} }$

$\displaystyle \sf{ \implies x = \frac{7 }{11} }$

$\displaystyle \sf{ \therefore \: \: 5. \overline{67} = \frac{562}{99}}$

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