Flashcards for:
Converting Decimals to Fractions
What is the process for simplifying fractions if you prefer not to cancel out factors?
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Divide the top and bottom by common factors such as 2 until no further simplification is possible.
How do you convert a decimal rounded to the nearest 10th to a fraction?
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Put the decimal over one and multiply the top and bottom by 10.
Can you reduce the fraction 4/10?
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Yes, it can be reduced to 2/5 by canceling out a common factor of 2.
How do you convert a decimal rounded to the nearest 100th to a fraction?
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Put the decimal over one and multiply the top and bottom by 100.
What if the fraction after multiplying by 100 is not in its simplest form?
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Check to see if you can reduce the fraction by canceling out common factors.
How can you simplify a fraction like 32/100?
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Cancel out a common factor of 4 to get 8/25.
What about a decimal like 2.25?
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Put it over one and multiply the top and bottom by 100 to get 225/100, then simplify by dividing by 5 to get 9/4.
How do you handle a decimal like 0.128?
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Put it over one and multiply the top and bottom by 1000 to get 128/1000, then simplify by dividing by common factors to get 16/125.
What is the general rule for converting decimals to fractions?
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Multiply the decimal by 10, 100, 1000, etc., depending on the number of decimal places and simplify the resulting fraction.
Can you convert an improper fraction to a mixed number?
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Yes, after simplifying an improper fraction, you can write it as a mixed number if desired.
What is the process for simplifying fractions if you prefer not to cancel out factors?
Press to flip
Divide the top and bottom by common factors such as 2 until no further simplification is possible.
How do you convert a decimal rounded to the nearest 10th to a fraction?
Press to flip
Put the decimal over one and multiply the top and bottom by 10.