Understanding Repeating Decimals and Fractions

What is the initial step in converting a repeating decimal like 0.38 into a fraction?

• Divide by 2

• Add 1 to it

• Set it equal to X

• Multiply by 10

Why do we multiply the equation by 100 in the process of converting 0.38 into a fraction?

• To simplify the equation

• To eliminate the decimal point

• To make the number larger

• To shift the repeating decimal to the left of the decimal point

What is the purpose of setting up two equations in the process of solving for the fraction?

• To add them together

• To compare different decimals

• To facilitate subtraction and eliminate the repeating part

• To check for errors

After subtracting the two equations, what is the resulting equation used to find the fraction?

• 99X = 38

• 100X = 38

• X = 99

• X = 38

What is the final fraction obtained from converting the repeating decimal 0.38?

• 38/100

• 19/99

• 19/50

• 38/99