Question

Enter the numerator and denominator of a fraction in simplest form that is equivalent to 0.941941 Repeating.

Answer 1

The repeating decimal 0.941941... can be converted into the simple fraction 941/999 using a series of mathematical steps which involve defining the decimal as a variable, manipulating this variable to cancel out the repeating part, and finally solving for this variable.

Step-by-step explanation:

To convert a repeating decimal such as 0.941941... to a fraction, you can apply a series of mathematical steps. Let's denote the decimal by x, therefore x = 0.941941....

1. Multiply x by 1000 to shift the repeating part. That gives us 1000x = 941.941941....
2. Subtract the original equation x from this result: 1000x - x = 941.941941... - 0.941941..., which simplifies to 999x = 941.
3. Solve for x by dividing both sides by 999 gives us: x = 941/999.

In conclusion, the fraction equivalent to the repeating decimal 0.941941... in simplest form is 941/999.

Learn more about Repeating Decimal to Fraction

Answer 2

`(941)/(999)`

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941...... (I)

x = 0.941941....... (II) {subtract equation (II) from (I) }

999x = 941

x = 941/999