Understanding Fractions and Decimals

The video tutorial explains how to convert the fraction 21/60 into a decimal. It begins by simplifying the fraction to 7/20 and then converting it to 35/100, which is easier to express as a decimal. The tutorial also covers the concept of place value in decimals, explaining how 35/100 can be represented as 0.35. The process involves understanding equivalent fractions, simplifying fractions using common factors, and converting fractions to decimals by adjusting the denominator to 100.

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

• Add 100 to the numerator

• Divide the numerator by the denominator

• Rewrite the fraction with 100 as the denominator

• Multiply the numerator by 100

Which of the following numbers is a common factor of both 21 and 60?

• 7

• 5

• 2

• 3

What is the simplified form of the fraction 21/60?

• 1/3

• 3/10

• 21/100

• 7/20

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CCSS.3.NF.A.3B

CCSS.4.NF.A.1

How do you convert 7/20 to a fraction with 100 as the denominator?

• Multiply both numerator and denominator by 10

• Divide the denominator by 5

• Multiply both numerator and denominator by 5

• Add 5 to the numerator

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CCSS.4.NF.C.6

What is the decimal representation of 35/100?

• 0.35

• 3.5

• 0.035

• 35.0

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CCSS.5.NBT.A.3A

Why is 35/100 equivalent to 0.35?

• Because 35 is in the hundredths place

• Because 35 is in the ones place

• Because 35 is in the tenths place

• Because 35 is in the thousandths place

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CCSS.4.NF.C.6

What is the value of 3/10 in terms of hundredths?

• 0.3

• 300/1000

• 3/100

• 30/100

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CCSS.4.NF.B.3A

How can 35/100 be broken down into simpler fractions?

• 35/100 + 0/100

• 30/100 + 5/100

• 35/10 + 0/100

• 3/10 + 5/10

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CCSS.5.NBT.A.3A

What is the tenths place value of 0.35?

• 3

• 0

• 35

• 5

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CCSS.5.NBT.A.3A

What is the hundredths place value of 0.35?

• 35

• 3

• 5

• 0

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CCSS.5.NBT.A.3A