Fraction to Decimal Conversion Techniques

This video tutorial demonstrates how to convert proper fractions into decimals using long division. It begins with an introduction to proper fractions, explaining that they have numerators smaller than denominators and represent numbers less than one. The video then provides four examples: converting 3/4, 5/12, 6/20, and 3/15 into decimals. Each example is explained step-by-step, highlighting the process of setting up the division, handling remainders, and identifying repeating decimals. The tutorial concludes with a call to action for viewers to like and subscribe for more math help.

What is a proper fraction?

• A fraction where the numerator is greater than the denominator

• A fraction where the numerator is less than the denominator

• A fraction where the numerator is equal to the denominator

• A fraction that represents a whole number

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

• Multiply the numerator by the denominator

• Add a decimal point to the numerator

• Subtract the denominator from the numerator

• Divide the numerator by the denominator

In the example of converting 3/4 to a decimal, what is the first number you write above the division line?

• 3

• 4

• 7

• 0

What is the decimal equivalent of 3/4?

• 0.25

• 0.5

• 0.75

• 0.3

What is the purpose of adding a decimal point and zeros when converting fractions to decimals?

• To simplify the fraction

• To change the fraction to a whole number

• To extend the dividend for division

• To make the division easier

What is the first step in setting up a long division problem for fraction conversion?

• Add a decimal point to the denominator

• Place the numerator inside the division bracket

• Place the denominator inside the division bracket

• Multiply the numerator and denominator

When converting 5/12 to a decimal, what is the repeating digit?

• 4

• 1

• 6

• 2

What is the decimal representation of 5/12?

• 0.41

• 0.416

• 0.4

• 0.42

In the example of converting 5/12, what is the remainder after the first division step?

• 2

• 4

• 6

• 8

What does a repeating decimal indicate in the context of fraction conversion?

• The decimal will terminate

• The decimal will continue indefinitely

• The fraction is improper

• The fraction is a whole number