What is 0.414 as a fraction?

What is 0.414 as a fraction?


0.414 is 207/500 as a fraction

How to convert decimals as fractions

What are fraction ?

Word “fraction” is derived from the Latin word fractus. It simply means how many parts of a whole we have. A fraction consists of a numerator, a slash and denominator. For example in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Steps to convert 0.414 to fraction ?

Steps:
  • Step 1: Write down the decimal divided by 1, like this: decimal 1
  • Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
  • Step 3: Simplify (or reduce) the fraction
  • Example: Convert 0.414 to a fraction

    Step 1: Write down 0.414 divided by 1:

    0.414 1

    Step 2: Multiply both top and bottom by 1000 (because there are 3 digits after the decimal point so that is 1000:
    × 1000
    right over arrow
    0.414 1 = 414 1000
    right under arrow
    × 1000

    (Do you see how it turns the top number into a whole number?)

    Step 3: Simplify the Fraction:
    ÷2
    right over arrow
    414 1000 = 207 500
    right under arrow
    ÷2

    Answer = 207 500

    Note: 414/1000 is called a decimal fraction and 207/500 is called a common fraction !

    How to read a fraction?

    The simplest way to read fractions is to simply read them as numerator over denominator. Example, fraction 5/8 can be read as five over eight.

    Example of fractions in real life - 1

    Lets say in a school of 500 students, there are 207 boys and remaining are girls. We can then simply say the the fraction of boys in this school are 207/500 and ratio of boys to total students is 0.414

    Example of fractions in real life - 2

    Lets say we have a total of 500 balls. Among these 500 balls. 207 are white and rest are black. We can then simply say the the fraction of white balls is 207/500 , and ratio of white balls to total balls is 0.414
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