answersLogoWhite

0

To convert the repeating decimal 3.2̅ (where the 2 repeats) into a fraction, let ( x = 3.2̅ ). Then, multiplying both sides by 10 gives ( 10x = 32.2̅ ). Subtracting the original equation from this results in ( 10x - x = 32.2̅ - 3.2̅ ), simplifying to ( 9x = 29 ). Therefore, ( x = \frac{29}{9} ), so 3.2̅ as a fraction is ( \frac{29}{9} ).

User Avatar

AnswerBot

1mo ago

What else can I help you with?

Related Questions

What is 0.032 repeating as a fraction?

32/999


What is 3.5 repeating in a fraction?

It is 32/9.


What is 3.5 as a repeating decimal converted into a fraction?

It is 32/9.


What 3.5 repeating as a fraction in simplest form?

32/9


What is 3.5 repeating 5 as a fraction in simplest form?

32/9


What is .32 as a fraction when the 2 is repeating?

Well, isn't that a happy little question! When we have a decimal with a repeating digit, we can turn it into a fraction by setting it equal to x, multiplying by the right power of 10 to shift the repeating part, and subtracting the original number from the shifted number. In this case, 0.32 with the 2 repeating becomes 32/99. Just like that, we've turned a decimal into a lovely fraction!


What is 0.96 repeting as a fraction?

To convert the repeating decimal 0.96 (with the 96 repeating) into a fraction, let ( x = 0.969696...). Multiplying both sides by 100 gives ( 100x = 96.969696...). Subtracting the original equation from this one results in ( 99x = 96 ), leading to ( x = \frac{96}{99} ). Simplifying this fraction gives ( x = \frac{32}{33} ). Therefore, 0.96 repeating as a fraction is ( \frac{32}{33} ).


What is 0.78 repeating as a fraction?

0.78 repeating as a fraction = 78/99


What is 0.15 repeating as a fraction?

If you mean: 0.151515.....repeating then as a fraction it is 5/33


What is 1.49 ( 4 and 9 repeating) in a fraction?

What is 1.49 repeating (9 is repeating)


How do you turn 3.5 repeating into a fraction?

Suppose F = 3.555...then 10F = 35.555... Subtracting the first from the second gives 9F = 32 and so F = 32/9.


What is the fraction of repeating 4?

The fraction for .4 repeating is 2/5.