Converting Decimals to Fractions

The video tutorial teaches how to convert decimals into fractions, addressing common student struggles. It provides three examples: converting 0.2, 0.35, and a mixed number (4.65) into fractions. Each example includes a detailed explanation of place value, conversion steps, and simplification. The tutorial emphasizes the importance of simplifying fractions and provides strategies for identifying common divisors.

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

• Divide the decimal by 10

• Multiply the decimal by 100

• Identify the place value of the decimal

• Add a zero to the decimal

What is the fraction form of 0.2?

• 2/5

• 1/5

• 2/10

• 1/2

How do you simplify the fraction 2/10?

• Divide both numerator and denominator by 2

• Subtract 2 from both numerator and denominator

• Multiply both numerator and denominator by 2

• Add 2 to both numerator and denominator

What is the place value of the digit 5 in 0.35?

• Tenths

• Hundredths

• Thousandths

• Ones

What is the simplified fraction form of 0.35?

• 7/20

• 35/100

• 3/10

• 5/20

Which number can be used to simplify the fraction 35/100?

• 3

• 5

• 10

• 7

What is the whole number part of the decimal 4.65?

• 0

• 6

• 5

• 4

How do you express the decimal part of 4.65 as a fraction?

• 5/6

• 65/10

• 65/100

• 6/5

What is the simplified fraction form of 65/100?

• 20/13

• 13/20

• 5/13

• 65/10

What is the final mixed number form of 4.65?

• 4 and 13/20

• 4 and 7/10

• 4 and 1/5

• 4 and 65/100