answersLogoWhite

0

To show that (0.77\ldots) (where the 7 recurs infinitely) equals ( \frac{7}{9} ), let ( x = 0.77\ldots ). Multiplying both sides by 10 gives ( 10x = 7.77\ldots ). Subtracting the original equation from this results in ( 10x - x = 7.77\ldots - 0.77\ldots ), simplifying to ( 9x = 7 ). Dividing both sides by 9 yields ( x = \frac{7}{9} ).

User Avatar

AnswerBot

6mo ago

What else can I help you with?

Related Questions

What does 2 and 1 over 7 equal?

2.14285714... recurring.


What is 89 over 7 as a decimal?

Expressed as a decimal, 89/7 is equal to 12.714285 recurring (that is, 12.714285714285...)


What is 7 over 18 as a decimal?

Expressed as a decimal, 18/7 is equal to 2.571428 recurring (that is, 2.571428571428...)


What is decimal form for 1 over 7?

Expressed as a decimal fraction, 1/7 is equal to 0.142857 recurring (that is, 0.142857142857...)


Is 5 over 8 bigger than 4 over 7?

Yes - expressed as a decimal, 5/8 is equal to 0.625, while 4/7 is equal to 0.571428 recurring (that is, 0.571428571428...)


What is 7 over 11 as a percentage?

Expressed as a percentage, 7/11 is equal to 7/11 x 100 = 63.63 recurring (that is, 63.636363...) percent.


What is 5 over 7 as recurring decimal?

It is: 5/7 = 0.'714285' recurring '714285'


What is 4 over 7 as a recurring decimal?

It is: 4/7 = 0.'571428' recurring '571428'


What is 4 over 30 minus -7 over 30?

4/30 - -7/30 = 11/30 or eleven thirtieths. Expressed as a decimal, this is equal to 0.36 recurring (that is, 0.36666...)


Is 7 over 19 a rational number?

7/19 itself is a fraction - though its decimal equivalent, equal to 0.368421052631578947 recurring (that is, 0.368421052631578947368421052631578947...) is a rational number.


What is 18 over 11?

Expressed as a decimal fraction, 18/11 is equal to 1.63 recurring (that is, 1.63636..) or 1 7/11


What is three sevenths as a decimal and a percentage?

Expressed as a decimal, 3/7 is equal to 0.428571 recurring (that is, 0.428571428571...) Expressed as a percentage, 3/7 is equal to 42.857142 recurring (that is, 42.857142857142...) percent.