Converting Fractions to Decimals

The video tutorial explains how to convert fractions into decimals and vice versa. It begins with simple examples like 1/2 and 1/3, demonstrating the conversion process and explaining repeating decimals. The tutorial then covers more complex fractions such as 17/9 and 17/93, showing how to handle improper fractions and larger denominators. Finally, it explains how to convert decimals back into fractions, emphasizing simplification.

How do you convert the fraction 1/2 into a decimal?

• 0.2

• 0.5

• 0.25

• 2

What does the line over the decimal digits signify?

• That the number is irrational

• It is just a formatting choice

• That the digits before the line repeat

• That the digits under the line repeat indefinitely

How is the repeating decimal 0.333... represented?

• 0.33

• 0.3333

• 0.3

• 0.333...

What is the decimal representation of 1/3?

• 0.333...

• 0.3

• 0.3333

• 1/3

How can you express a repeating decimal in fraction form?

• Using an ellipsis

• By rounding to the nearest hundredth

• You cannot convert repeating decimals to fractions

• With a bar over the repeating digits

What is the result of dividing 17 by 9?

• 1.88...

• 1.89

• 1.9

• 1.8

What is 0.035 as a fraction?

• 3.5/100

• 35/100

• 35/1000

• 0.35/10

Which fraction is equivalent to 0.03?

• 0.3/1

• 30/100

• 3/100

• 3/10

How do you simplify the fraction 35/1000?

• 7/200

• 3.5/100

• 35/100

• 17/500

What is the decimal equivalent of 7/200?

• 0.0035

• 0.035

• 3.5

• 0.35