What is 0.3375 as a fraction?

What is 0.3375 as a fraction?


0.3375 is 27/80 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 0.3375 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 0.3375 to a fraction

    Step 1: Write down 0.3375 divided by 1:

    0.3375 1

    Step 2: Multiply both top and bottom by 10000 (because there are 4 digits after the decimal point so that is 10000:
    × 10000
    right over arrow
    0.3375 1 = 3375 10000
    right under arrow
    × 10000

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

    Step 3: Simplify the Fraction:
    ÷125
    right over arrow
    3375 10000 = 27 80
    right under arrow
    ÷125

    Answer = 27 80

    Note: 3375/10000 is called a decimal fraction and 27/80 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 80 students, there are 27 boys and remaining are girls. We can then simply say the the fraction of boys in this school are 27/80 and ratio of boys to total students is 0.3375

    Example of fractions in real life - 2

    Lets say we have a total of 80 balls. Among these 80 balls. 27 are white and rest are black. We can then simply say the the fraction of white balls is 27/80 , and ratio of white balls to total balls is 0.3375
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