What is 3.166 as a fraction?

What is 3.166 as a fraction?


3.166 is 1583/500 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 3.166 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 3.166 to a fraction

    Step 1: Write down 3.166 divided by 1:

    3.166 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
    3.166 1 = 3166 1000
    right under arrow
    × 1000

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

    Step 3: Simplify the Fraction:
    × 1000
    right over arrow
    3166 1000 = 1583 500
    right under arrow

    Answer = 1583 500

    Note: 3166/1000 is called a decimal fraction and 1583/500 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.

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