Converting Repeating Decimals into Fractions

The video tutorial explains how rational numbers can be expressed as fractions, including whole numbers, integers, and numbers with terminating decimals. It then focuses on repeating decimals, which are also rational, and demonstrates how to convert them into fractions using a four-step process. The example used is converting 2 and 0.3 repeating into a fraction, resulting in 4/3. The lesson concludes by summarizing the conversion process.

How can whole numbers be expressed as fractions?

• By multiplying them by 10

• By placing them over 1

• By subtracting 1 from them

• By adding a decimal point

What is the fraction representation of 0.3?

• 1/3

• 30/100

• 3/10

• 3/100

Why are repeating decimals considered rational numbers?

• Because they are irrational

• Because they are whole numbers

• Because they have a finite number of digits

• Because they can be expressed as fractions

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

• Subtract the decimal from 1

• Divide the number by 10

• Set the number equal to x

• Multiply the number by 10

What is the simplified fraction form of 2 and 0.3 repeating?

• 5/3

• 4/3

• 3/2

• 2/3