
Repeating Decimals to Fractions
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a repeating decimal?
Back
A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely. For example, 0.333... is a repeating decimal where '3' repeats.
2.
FLASHCARD QUESTION
Front
How do you convert a repeating decimal to a fraction?
Back
To convert a repeating decimal to a fraction, set the decimal equal to a variable, multiply by a power of 10 to shift the decimal point, subtract the original equation from this new equation, and solve for the variable.
3.
FLASHCARD QUESTION
Front
Convert the repeating decimal 0.666... to a fraction.
Back
4.
FLASHCARD QUESTION
Front
What is the significance of the bar notation in repeating decimals?
Back
The bar notation indicates which digits repeat. For example, in 0.1̅6, the '6' repeats indefinitely.
5.
FLASHCARD QUESTION
Front
Convert the repeating decimal 0.1̅4 to a fraction.
Back
6.
FLASHCARD QUESTION
Front
What is the fraction representation of 0.08̅3?
Back
7.
FLASHCARD QUESTION
Front
How do you represent a mixed number as a fraction?
Back
A mixed number consists of a whole number and a proper fraction. To convert it to an improper fraction, multiply the whole number by the denominator and add the numerator, placing the result over the original denominator.
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