What is 0.113 as a fraction?

What is 0.113 as a fraction?


0.113 is 113/1000 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 0.113 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 0.113 to a fraction

    Step 1: Write down 0.113 divided by 1:

    0.113 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
    0.113 1 = 113 1000
    right under arrow
    × 1000

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

    Step 3: Simplify the Fraction:
    ÷1
    right over arrow
    113 1000 = 113 1000
    right under arrow
    ÷1

    Answer = 113 1000

    Note: 113/1000 is called a decimal fraction and 113/1000 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 1000 students, there are 113 boys and remaining are girls. We can then simply say the the fraction of boys in this school are 113/1000 and ratio of boys to total students is 0.113

    Example of fractions in real life - 2

    Lets say we have a total of 1000 balls. Among these 1000 balls. 113 are white and rest are black. We can then simply say the the fraction of white balls is 113/1000 , and ratio of white balls to total balls is 0.113
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