Question

0.73 recurring can be writeen as 11/15

Answer 1

The statement that 0.73 recurring can be written as 11/15 is incorrect. The correct conversion of 0.73 recurring to a fraction is 73/99, which is found by using algebraic methods to solve for the variable representing the recurring decimal.

Step-by-step explanation:

The question asks whether 0.73 recurring can be written as the fraction 11/15. To convert a recurring decimal to a fraction, we assign a variable 'x' to the decimal number:

x = 0.737373...

Then multiply x by a power of 10 that matches the recurring pattern. In this case, we multiply by 100:

100x = 73.737373...

Subtract the original equation from this new equation:

100x - x = 73.737373... - 0.737373...

99x = 73

And solve for x:

x = 73 / 99

So, 0.73 recurring is 73/99, not 11/15. Therefore, the statement that 0.73 recurring can be written as 11/15 is incorrect.

Answer 2

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333.. ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x =
`(66)/(90)` =
`(11)/(15)`