Converting Fractions to Decimals: Key Concepts

This video tutorial explains how to convert fractions into decimals using long division. It covers examples such as 2/5, 1/4, 3/8, and 17/4, demonstrating the step-by-step process. The video also discusses fractions with 9 in the denominator, leading to repeating decimals, and provides examples like 1/9 and 23/99. By the end, viewers will understand how to convert fractions to decimals and identify repeating decimal patterns.

What is the first step in converting the fraction 2/5 to a decimal using long division?

• Subtract 2 from 5.

• Multiply 2 by 5.

• Divide 5 by 2.

• Add a decimal point and a zero.

How many times does 5 go into 20 when converting 2/5 to a decimal?

• 2 times

• 3 times

• 4 times

• 5 times

What is the decimal equivalent of 1/4?

• 0.4

• 0.5

• 0.2

• 0.25

When converting 1/4 to a decimal, what do you do after adding a decimal point and a zero?

• Add another zero.

• Multiply 4 by 10.

• Divide 4 by 10.

• Subtract 4 from 10.

What is the decimal equivalent of 3/8?

• 0.25

• 0.375

• 0.625

• 0.5

How many times does 8 go into 30 when converting 3/8 to a decimal?

• 2 times

• 3 times

• 4 times

• 5 times

What is the decimal equivalent of 17/4?

• 4.75

• 4.5

• 4.25

• 5.0

What is the repeating decimal for the fraction 1/9?

• 0.1

• 0.1111

• 0.11

• 0.111

What is the repeating decimal for the fraction 2/9?

• 0.2

• 0.22

• 0.222

• 0.2222

What is the repeating decimal for the fraction 23/99?

• 0.2323

• 0.23232323

• 0.23

• 0.232323