What is the fraction of -0.458333333?

Answer 1

the fraction of -0.458333333 = -11/24

To convert -0.458333333 to a fraction:

1. Let x = -0.4583333333

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 4 places to the right by multiplying it by 10000.

Thus,

(x = -0.4583333333) * 10000

10000x = -4583.333333 - equation (1)

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

In this case, move the decimal point 3 places to the right.

Thus,

(x = -0.4583333333) * 1000

100x = -458.3333333 - equation (2)

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

10000 x - 1000x = -4583.333333 - (-458.3333333)

9000x = -4125

divide both sides by 9000

x = -4125/9000 or -11/24