Converting Repeating Decimals to Fractions

The video tutorial explains how to convert repeating decimals into fractions. It begins by introducing the concept of repeating decimals and their notation. The process involves letting a variable equal the repeating decimal, multiplying both sides of the equation by a power of 10, and then subtracting the original number to solve for the fraction. Several examples are provided, including converting 0.3333, 0.2, 0.18, and 0.16 into fractions, demonstrating the step-by-step method for each case.

What does a bar over a digit in a decimal number indicate?

• The digit is a whole number.

• The digit is repeating.

• The digit is a fraction.

• The digit is an integer.

How many digits are repeating in the decimal 0.18 with a bar over 18?

• Four

• Three

• Two

• One

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

• Multiply by a power of 10.

• Divide both sides by 9.

• Subtract n from both sides.

• Let n equal the repeating decimal.

In the method to convert repeating decimals to fractions, what does 'n' represent?

• The number of repeating digits.

• The fraction.

• The repeating decimal.

• The power of 10.

What is the fraction equivalent of the repeating decimal 0.3333...?

• 1/5

• 1/3

• 1/2

• 1/4

When converting 0.3333... to a fraction, what do you get after subtracting n from 10n?

• 9n

• 2n

• 1n

• 10n

What is the fraction equivalent of the repeating decimal 0.2 with a bar over the 2?

• 2/7

• 1/3

• 2/9

• 1/5

How many digits are repeating in the decimal 0.18 with a bar over 18?

• One

• Two

• Three

• Four

What is the fraction equivalent of the repeating decimal 0.18 with a bar over 18?

• 2/11

• 1/6

• 3/8

• 2/9

What is the fraction equivalent of the repeating decimal 0.16 with a bar over the 6?

• 1/8

• 1/7

• 1/6

• 1/5