Converting Repeating Decimals to Fractions

In this video, Mr. J explains how to convert repeating decimals to fractions through four examples. The process involves writing equations, shifting decimals, and solving for x. Each example demonstrates the steps of left, right, subtract, and solve. The video concludes with a summary of the method and a preview of part two, which will cover decimals with non-repeating digits.

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

• Subtract the equations

• Simplify the fraction

• Write an equation with x

• Multiply by 10

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How do you handle two repeating digits when converting 0.36 repeating to a fraction?

• Multiply by 10

• Multiply by 100

• Multiply by 1000

• Multiply by 1

What is the simplified fraction form of 0.36 repeating?

• 4/11

• 36/99

• 3/8

• 5/12

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When converting 2.4 repeating, what should you do with the whole number?

• Ignore it completely

• Convert it to a fraction

• Handle it separately at the end

• Multiply it by 10

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What is the fraction form of 2.4 repeating?

• 2 and 3/8

• 2 and 5/9

• 2 and 4/9

• 2 and 1/2

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How many places do you move the decimal for 0.150 repeating?

• One place

• Two places

• Four places

• Three places

What is the simplified fraction form of 0.150 repeating?

• 50/333

• 150/999

• 5/33

• 15/99

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What pattern is observed when converting repeating decimals to fractions?

• Always over 10

• Always over 9, 99, or 999

• Always over 100

• Always over 5

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What should you be cautious of when dealing with mixed repeating and non-repeating decimals?

• Use a calculator

• Do not mix them

• Handle them separately

• Always use 9s

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What is the key phrase to remember the steps for converting repeating decimals to fractions?

• Left, Right, Subtract, Solve

• Multiply, Divide, Simplify

• Add, Subtract, Multiply, Divide

• Simplify, Solve, Subtract, Add

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