Converting Repeating Decimals to Fractions

This video tutorial explains how to convert repeating decimals into fractions using algebraic methods. It covers examples such as 0.333, 0.666, 0.1818, and 0.166, demonstrating the process of setting the decimal to a variable, multiplying to shift the decimal point, and solving the resulting equation. The video concludes with a prompt to subscribe for more math and science content.

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

• Set the decimal equal to X

• Add 1 to the decimal

• Divide the decimal by 10

• Multiply the decimal by 100

How do you eliminate the repeating part of 0.333... when converting it to a fraction?

• Multiply by 100

• Subtract 0.3

• Add 0.1

• Multiply by 10

What is the fraction form of 0.333...?

• 1/2

• 1/5

• 1/3

• 1/4

What is the result of converting 0.666... into a fraction?

• 3/4

• 1/3

• 2/3

• 1/2

When converting 0.666... to a fraction, what do you multiply by to move the decimal?

• 1

• 10

• 0.1

• 100

How many digits are repeating in the decimal 0.181818...?

• One

• Four

• Two

• Three

What is the fraction form of 0.181818...?

• 1/5

• 2/11

• 1/6

• 2/9

What is the first step in converting a decimal with non-repeating digits like 0.1666...?

• Add 1

• Multiply by 100

• Set it equal to X

• Multiply by 10

What is the fraction form of 0.1666...?

• 1/6

• 1/5

• 1/7

• 1/8

In the conversion of 0.1666..., what is done to eliminate the decimal?

• Multiply by 10

• Multiply by 100

• Add 0.1

• Subtract 0.1