Converting Recurring Decimals to Fractions

Converting Recurring Decimals to Fractions

Assessment

Interactive Video

Mathematics, Science

10th Grade - University

Hard

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The video tutorial explains recurring decimals, which are decimals that repeat indefinitely after a certain point, and how to convert them into fractions. It covers simple conversions for single, double, and triple-digit recurring decimals using fractions like x/9, xy/99, and xyz/999. For more complex recurring decimals, the tutorial demonstrates creating equations to eliminate the repeating part by multiplying and subtracting, ultimately simplifying the result into a fraction. The process involves labeling the original decimal, moving the recurring part, and solving the resulting equation.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a recurring decimal and how is it represented?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you convert a single-digit recurring decimal into a fraction?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of eliminating decimal numbers when converting complex recurring decimals.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in simplifying the fraction obtained from a recurring decimal?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to set up an equation when converting a recurring decimal to a fraction.

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