Converting Decimals to Fractions: Key Concepts and Techniques

In this video, Mr. J explains how to convert decimals to fractions by identifying the place value of the decimal. He provides six examples, demonstrating conversions from decimals to fractions and mixed numbers. The key concept is to use the place value of the last digit in the decimal as the denominator of the fraction. The video covers tenths, hundredths, and thousandths, and includes examples of both simple fractions and mixed numbers. Mr. J concludes with a summary of the process and encourages viewers to apply the method to other problems.

What is the first step in converting decimals to fractions?

• Identify the numerator.

• Determine the decimal's place value.

• Multiply the decimal by 100.

• Write the fraction in simplest form.

If a decimal ends in the tenths place, what will be the denominator of the fraction?

• 1

• 10

• 100

• 1000

How do you write 0.4 as a fraction?

• 40/100

• 4/100

• 40/10

• 4/10

What does a placeholder zero do to the decimal's place value in a fraction?

• Has no effect.

• Increases the denominator.

• Changes the numerator.

• Decreases the denominator.

Convert 0.04 to a fraction.

• 4/1000

• 40/100

• 4/100

• 4/10

What is the denominator for a decimal ending in the thousandths place?

• 10

• 100

• 1000

• 10000

How is a mixed number represented when converting from a decimal?

• Fraction + Whole number

• By using a decimal point

• It cannot be converted

• Whole number + Fraction

What is the fraction form of 1.88?

• 188/100

• 18/100

• 1 88/100

• 1 8/10

Convert 0.002 to a fraction.

• 2/10

• 2/100

• 2/1000

• 20/1000

Convert 9.5 to a mixed number.

• 9 5/10

• 9 1/2

• 95/10

• 9 50/100