Q&A for How to Convert Fractions to Decimals

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  • Question
    How can I convert a fraction to a percent?
    wikiHow Staff Editor
    Staff Answer
    This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.
    wikiHow Staff Editor
    Staff Answer
    To convert a fraction into a percent, first convert it into a decimal. For example, ½ = .5. Next, multiply the result by 100 to get a percent. Simply move the decimal point to the right 2 places. For example, .5 x 100 = 50%.
  • Question
    How do you turn a mixed number into a decimal?
    wikiHow Staff Editor
    Staff Answer
    This answer was written by one of our trained team of researchers who validated it for accuracy and comprehensiveness.
    wikiHow Staff Editor
    Staff Answer
    First, convert the mixed number into an improper fraction. Multiply the whole number by the denominator, then add the result to the numerator to get the new numerator (e.g., 2 2/3 = 8/3). Divide the numerator by the denominator to get the decimal.
  • Question
    Can you explain things in simpler terms?
    Community Answer
    To convert a fraction into a decimal, divide the top number by the bottom number.
  • Question
    What about with denominators that don't divide into 10, 100 or 1000, such as 7?
    Donagan
    Top Answerer
    You still divide the denominator into the numerator, no matter what the numbers are. It's likely you would wind up with a quotient consisting of a decimal number.
  • Question
    What is the point of this?
    Donagan
    Top Answerer
    There are many situations in which operating with a decimal number is easier than operating with a fraction.
  • Question
    Can you explain ratios and unit rates?
    Donagan
    Top Answerer
    A ratio is a comparison between two numbers. The ratio 1:2 compares 1 to 2. It is equivalent to the fraction ½. In this case the first number is half the second number (or the second number is twice the first number). A "rate" is a ratio that compares quantities expressed in different units (such as miles and hours). A "unit rate" is a rate in which the second number in the ratio is 1 (such as ten miles per (one) hour).
  • Question
    How do I turn a fraction into a mixed number?
    Community Answer
    You can turn an improper fraction into a mixed number if the denominator does not divide evenly into the numerator. In this case, the quotient becomes the integer of the mixed number, and the remainder is the numerator of the mixed number. The original denominator remains unchanged. If the denominator divides evenly into the numerator so that there's no remainder, you're left only with a whole number (and thus no mixed number).
  • Question
    What happens if I can’t use a calculator, but the number doesn’t go into 100 equally, e.g. 7?
    Donagan
    Top Answerer
    You would have to do the division manually, carried out to as many decimal places as needed.
  • Question
    How can I convert 0.625 to a fraction?
    Donagan
    Top Answerer
    0.625 = 625/1000. That reduces to 25/40 and finally to 5/8.
  • Question
    How do I turn 2.072 into a fraction?
    Donagan
    Top Answerer
    That's the same as the mixed number 2 72/1,000, which reduces to 2 9/125.
  • Question
    Is there any easy way to convert fractions into decimals without a calculator?
    Donagan
    Top Answerer
    Without a calculator, all you can do is manually divide denominator into numerator.
  • Question
    How do I do this more quickly?
    Donagan
    Top Answerer
    You practice it over and over.
  • Question
    Mr. Mori gives a math test with 21 questions on it. You answered 2/3 of them correctly. How many did you answer incorrectly?
    Donagan
    Top Answerer
    You answered 1/3 of the questions incorrectly. 21 ÷ 3 = 7, so 1/3 of 21 is 7.
  • Question
    What decimal is the fraction 2/2 equivalent to?
    Community Answer
    2/2 simplifies to 1/1, which is a whole number, 1.
  • Question
    How do I express 4/6 as a decimal using long division?
    Community Answer
    Refer to Do Long Division .
  • Question
    What is 2/5 as a decimal?
    Community Answer
    2/5 = 2 ÷ 5 = 0.4.
  • Question
    What is 1 2/5 in decimal?
    Community Answer
    1 2/5 = 1 4/10 = 1.4.
  • Question
    How do I convert 11/16 into a decimal?
    I_l1ke_gam3s
    Community Answer
    Divide 11 by 16 to get your answer because you divide the numerator by a denominator. You will arrive at approximately 0.6875, your answer.
  • Question
    How do you express 5 7/10 as a decimal?
    Community Answer
    5.7.
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