In order to reduce the fraction we find the Greatest Common Factor (GCF) for 45 and 100. A factor is just a number that divides into another number without any remainder.The factors of 45 are: 1 3 5 9 15 45 The factors of 100 are: 1 2 4 5 10 20 25 50 100 The Greatest Common Factor (GCF) for both 45 and 100 is: 5Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

You are watching: Change 45% to a decimal, then a fraction.


As a side note the whole number-integral part is: emptyThe decimal part is: .45= 45/100Full simple fraction breakdown:45/100= 9/20

Scroll down to customize the precision point enabling .45 to be broken down to a specific number of digits. The page also includes 2-3D graphical representations of .45 as a fraction, the different types of fractions, and what type of fraction .45 is when converted.
Graph Representation of .45 as a FractionPie chart representation of the fractional part of .45

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Level of Precision for .45 as a Fraction

The level of precision are the number of digits to round to. Select a lower precision point below to break decimal .45 down further in fraction form. The default precision point is 5.If the last trailing digit is "5" you can use the "round half up" and "round half down" options to round that digit up or down when you change the precision point.For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.select a precision point:123456789 round half up round half down
Enter a Decimal Value:
this.maxLength)this.value=this.value.slice(0,this.maxLength);">Show as a fraction
Is45/100 a Mixed, Whole Number or Proper fraction?A mixed number is made up of a whole number (whole numbers have no fractional or decimal part) and a proper fraction part (a fraction where the numerator (the top number) is less than the denominator (the bottom number). In this case the whole number value is empty
and the proper fraction value is 45/100.


Can all decimals be converted into a fraction?

Not all decimals can be converted into a fraction. There are 3 basic types which include:Terminating decimals have a limited number of digits after the decimal point.Example:3529.5666 = 3529 5666/10000Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.Example:6311.3333 = 6311 3333/10000 = 333/1000 = 33/100 = 1/3 (rounded)Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.Example: 0.579640841.....

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Fraction into Decimal

You can also see the reverse conversion I.e. how fraction 45/100is converted into a decimal.