Clearing Fractions and Decimals in Equations

This tutorial teaches how to solve equations by clearing them of fractions and decimals. It explains the process of using the least common denominator to eliminate fractions and the power of 10 to remove decimals. The video includes examples and addresses special cases like equations with parentheses and coefficients. By the end, viewers should be able to solve equations more easily by simplifying them first.

What is the first step in solving equations by clearing fractions?

• Find the least common denominator (LCD)

• Subtract the fractions

• Divide each term by the smallest denominator

• Add the fractions together

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

When renaming fractions, what must you do to both the numerator and denominator?

• Multiply by the same value

• Subtract the same value

• Add the same value

• Divide by the same value

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CCSS.5.NF.B.4

CCSS.5.NF.B.6

What is the least common multiple (LCM) of 3, 5, and 1?

• 20

• 15

• 10

• 5

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CCSS.6.NS.B.4

If the denominators are 4, 1, and 4, what is the LCD?

• 8

• 4

• 1

• 16

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CCSS.6.EE.A.2C

What should you do if your problem started with a fraction?

• Convert the answer to a decimal

• Divide the answer by 2

• Leave the answer in fraction form

• Multiply the answer by 10

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CCSS.6.EE.A.3

When dealing with parentheses in equations, what should you focus on?

• The variables

• The entire expression inside the parentheses

• Only the coefficients

• Only the constants

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

What is the LCD of 6 and 10?

• 30

• 20

• 10

• 40

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CCSS.6.NS.B.3

To clear an equation of decimals, you need to multiply each term by the power of 10 corresponding to what?

• The sum of all decimal values

• The average decimal value

• The longest decimal value

• The smallest decimal value

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CCSS.5.NBT.A.2

If the longest decimal place value is three places, what power of 10 should you multiply by?

• 10

• 1000

• 10000

• 100

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CCSS.5.NBT.A.2

What happens to the decimal point when you multiply by a power of 10?

• It moves to the right

• It disappears

• It moves to the left

• It stays the same

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CCSS.5.NBT.A.2