Converting Improper Fractions and Mixed Numbers to Decimals

The video tutorial explains how to convert fractions into decimals using long division. It begins with a general method and provides examples, such as converting 3/4, 2/5, and 19/3 into decimals. The tutorial also covers converting mixed numbers into decimals, using 3 and 4/5 as an example. The process involves placing the numerator inside the division and the denominator outside, adding decimal points, and handling repeating decimals.

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

• Place the numerator inside the division bracket

• Subtract the denominator from the numerator

• Add a decimal point to the numerator

• Multiply the numerator by 10

When converting 3/4 to a decimal, what do you do after placing the numerator inside the division bracket?

• Add a decimal point and a zero

• Divide the numerator by 4

• Multiply the numerator by 4

• Subtract 4 from the numerator

What is the decimal equivalent of 3/4?

• 0.5

• 0.75

• 0.25

• 1.0

In the example of converting 2/5 to a decimal, what is the next step after treating 2.0 as 20?

• Subtract 5 from 20

• Add another zero

• Multiply 20 by 5

• Divide 20 by 5

What is the decimal equivalent of 2/5?

• 0.2

• 0.4

• 0.6

• 0.8

When converting 19/3 to a decimal, what do you do after getting a remainder of 1?

• Subtract 1 from 3

• Multiply the remainder by 3

• Add a decimal point and a zero

• Stop the division

What is the repeating decimal representation of 19/3?

• 7.333...

• 6.999...

• 6.666...

• 6.333...

How do you convert the fraction part of a mixed number to a decimal?

• Subtract the numerator from the denominator

• Multiply the fraction by 10

• Use long division

• Add the numerator and denominator

What is the decimal equivalent of 4/5?

• 0.2

• 0.4

• 0.8

• 0.6

What is the decimal equivalent of the mixed number 3 4/5?

• 3.2

• 3.4

• 3.8

• 3.6