What is 0.825 as a fraction?

What is 0.825 as a fraction?


0.825 is 33/40 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 0.825 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 0.825 to a fraction

    Step 1: Write down 0.825 divided by 1:

    0.825 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
    0.825 1 = 825 1000
    right under arrow
    × 1000

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

    Step 3: Simplify the Fraction:
    ÷25
    right over arrow
    825 1000 = 33 40
    right under arrow
    ÷25

    Answer = 33 40

    Note: 825/1000 is called a decimal fraction and 33/40 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 40 students, there are 33 boys and remaining are girls. We can then simply say the the fraction of boys in this school are 33/40 and ratio of boys to total students is 0.825

    Example of fractions in real life - 2

    Lets say we have a total of 40 balls. Among these 40 balls. 33 are white and rest are black. We can then simply say the the fraction of white balls is 33/40 , and ratio of white balls to total balls is 0.825
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