Converting Repeating Decimals to Fractions

What is the first step in converting a repeating decimal to a fraction?

• Add the decimal to itself

• Divide the decimal by 100

• Set the decimal equal to a variable

• Multiply the decimal by 10

Why do we multiply both sides of the equation by 100?

• To convert the decimal to a whole number

• To add more decimal places

• To eliminate the repeating part of the decimal

• To make the decimal smaller

What happens to the decimal point when we multiply by 100?

• It stays the same

• It disappears

• It moves two places to the left

• It moves two places to the right

After eliminating the repeating part, what is the next step?

• Add the variable to both sides

• Subtract the original variable from both sides

• Multiply by another 100

• Divide by 10

What is the result of subtracting the original variable from both sides?

• A fraction

• A whole number

• A simplified equation

• A new repeating decimal

How do you isolate the variable in the equation?

• Add 100 to both sides

• Subtract 1 from both sides

• Multiply both sides by 10

• Divide both sides by 99

What is the fraction form of 3.4141...?

• 341/99

• 338/100

• 338/99

• 341/100

How do you handle repeating decimals with non-repeating whole numbers?

• Divide by 100

• Ignore the whole number

• Multiply by 10

• Use the same algebraic method

What is the fraction form of 3.423232...?

• 338/99

• 3389/990

• 342/100

• 342/99

What is the final step in converting a repeating decimal to a fraction?

• Multiply by 10

• Simplify the fraction

• Add the whole number

• Subtract the decimal part