Converting Fractions to Repeating Decimals Quiz

What is the first step in converting a fraction to a decimal using long division?

• Add a decimal point to the numerator.

• Place the numerator outside and the denominator inside.

• Place the denominator outside and the numerator inside.

• Multiply the numerator and denominator by 10.

When converting 1/3 to a decimal, what repeating pattern do you observe?

• 0.666...

• 0.333...

• 0.111...

• 0.999...

How can you find the decimal representation of 2/3 using the result of 1/3?

• Subtract 0.1 from the decimal of 1/3.

• Multiply the decimal of 1/3 by 3.

• Add 0.3 to the decimal of 1/3.

• Double the decimal of 1/3.

What is the repeating decimal for 1/6?

• 0.16...

• 0.1666...

• 0.6...

• 0.666...

In the conversion of 1/6, what is the remainder after the first division step?

• 4

• 3

• 2

• 1

What is the repeating decimal for 1/9?

• 0.111...

• 0.11...

• 0.09...

• 0.1...

What pattern is observed when converting fractions with 9 in the denominator?

• The numerator repeats.

• The denominator repeats.

• The decimal is irrational.

• The decimal terminates.

Which of the following fractions does not result in a repeating decimal?

• 1/6

• 1/9

• 3/3

• 1/3

What is the repeating decimal for 1/12?

• 0.1...

• 0.06...

• 0.083...

• 0.05...

What is a common characteristic of fractions that result in repeating decimals when divided by multiples of three?

• They always result in a terminating decimal.

• They are always greater than 1.

• They always simplify to a whole number.

• They often have a repeating pattern.