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} ).
32/999
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} ).
0.78 repeating as a fraction = 78/99
Suppose F = 3.555...then 10F = 35.555... Subtracting the first from the second gives 9F = 32 and so F = 32/9.
What is 1.49 repeating (9 is repeating)
32/999
It is 32/9.
It is 32/9.
32/9
32/9
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!
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} ).
0.78 repeating as a fraction = 78/99
If you mean: 0.151515.....repeating then as a fraction it is 5/33
What is 1.49 repeating (9 is repeating)
Suppose F = 3.555...then 10F = 35.555... Subtracting the first from the second gives 9F = 32 and so F = 32/9.
The fraction for .4 repeating is 2/5.