What is .0583333333 as a fraction?

Answer 1

To convert -0.583333333 to a fraction:

1. Let x = -0.583333333

2. The repeating digit is 3

3. Place the repeating digit to the left of the decimal point.

In this case, move the decimal point 3 places to the right by multiplying it by 1000.

Thus,

(x = -0.583333333) * 1000

1000x = -583.333333 - equation (1)

4. Place the repeating digit to the right of the decimal point.

In this case, move the decimal point 2 places to the right.

Thus,

(x = -0.583333333) * 100

100x = -58.3333333 - equation (2)

5. Subtract Eq.(2) from Eq.(1)

1000 x - 100x = -583.333333 - (-58.3333333)

900x = -583.333333 + 58.3333333)

900x = -525

divide both sides by 900

x = -525/900 or -7/12

Answer: -0.583333333 = -7/12

Answer 2

0.583333333 as a fraction = 7/12

Answer 3

7/12