Converting Fractions to Decimals and Percentages

This video tutorial from Movie Math explains how to convert fractions into decimals and percentages. It begins with a basic introduction to fractions and decimals, followed by detailed steps to convert fractions like one-half and three-fourths into decimals. The tutorial also covers converting decimals into percentages and addresses how to handle repeating decimals, such as one-third. Finally, it offers tips on memorizing common fraction-decimal conversions to save time in calculations.

What is the first step in converting a fraction like one-half into a decimal?

• Subtract the denominator from the numerator

• Add the numerator and the denominator

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

How do you convert a decimal like 0.5 into a percentage?

• Divide by 100

• Multiply by 10

• Move the decimal point two places to the right

• Move the decimal point one place to the left

What is the decimal equivalent of the fraction three-fourths?

• 0.75

• 0.5

• 1.0

• 0.25

What percentage does the decimal 0.75 represent?

• 100%

• 75%

• 50%

• 25%

What is the decimal form of the fraction one-fifth?

• 0.4

• 0.1

• 0.3

• 0.2

How do you convert the decimal 0.2 into a percentage?

• Divide by 2

• Move the decimal point one place to the left

• Move the decimal point two places to the right

• Multiply by 5

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is a repeating decimal?

• A decimal that is greater than 1

• A decimal that repeats a sequence of digits indefinitely

• A decimal that ends after a few digits

• A decimal that is less than 1

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the repeating decimal representation of one-third?

• 0.3

• 0.33

• 0.333...

• 0.3333

Why is it useful to memorize common fraction to decimal conversions?

• It helps in quickly solving problems without calculations

• It is a school requirement

• It is required for all math exams

• It is a fun activity

Which of the following is a common fraction to decimal conversion?

• 1/2 = 0.5

• 1/3 = 0.4

• 1/5 = 0.3

• 1/4 = 0.4