Convert the decimal number 0.45. Turn it into a reduced (simplified) proper fraction and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding

Convert 0.45

1. Write the number as a percentage.

Multiply the number by 100/100

Note: 100/100 = 1

The value of the number does not change when multiplying by 100/100


0.45 =

0.45 × 100/100 =

(0.45 × 100)/100 =

45/100 =

45%


In other words:

Multiply the number by 100...

... And then add the percent sign, %

0.45 = 45%


» Convert fractions to percentages, online calculator


2. Write the number as a proper fraction.

0.45 can be written as a proper fraction.

The numerator is smaller than the denominator.


Write down the number divided by 1, as a fraction:

0.45 = 0.45/1

Turn the top number into a whole number.

Multiply both the top and the bottom by the same number.

This number is: 100.

1 followed by as many 0-s as the number of digits after the decimal point.


0.45/1 =

(0.45 × 100)/(1 × 100) =

45/100


3. Reduce (simplify) the fraction above: 45/100
(to the lowest terms, to its simplest equivalent form, irreducible).

To reduce a fraction divide the numerator and the denominator by their greatest (highest) common factor (divisor), GCF.


Factor both the numerator and the denominator (prime factorization).

In exponential notation (an):

45 = 32 × 5

100 = 22 × 52


» Prime factorization: break numbers down to prime factors, online calculator


Calculate the greatest (highest) common factor (divisor), GCF.

Multiply all the common prime factors by the lowest exponents.

GCF (32 × 5; 22 × 52) = 5


» Calculate the greatest (highest) common factor (divisor), GCF, online calculator


Divide both the numerator and the denominator by their greatest common factor, GCF.

45/100 =

(32 × 5)/(22 × 52) =

((32 × 5) ÷ 5) / ((22 × 52) ÷ 5) =

32/(22 × 5) =

9/20


9/20: Equivalent fractions.

The above fraction cannot be reduced.

That is, it has the smallest possible numerator and denominator.

By expanding it we can build up equivalent fractions.

Multiply the numerator & the denominator by the same number.


Example 1. By expanding the fraction by 6:

9/20 = (9 × 6)/(20 × 6) = 54/120

Example 2. By expanding the fraction by 9:

9/20 = (9 × 9)/(20 × 9) = 81/180

Of course, the above fractions are reducing...

... to the initial fraction: 9/20


» Reduce fractions and write them as decimal numbers and percentages


:: Final answer ::
Written in 3 different ways

As a reduced (simplified) positive proper fraction:
0.45 = 9/20

As a percentage:
0.45 = 45%

As equivalent fractions:
0.45 = 9/20 = 54/120 = 81/180

More operations of this kind

0.46 = ? Convert the decimal number 0.46. Turn it into a reduced (simplified) proper fraction and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding

Decimal numbers to fractions and percentages, calculator

The latest integers, terminating and repeating (recurring) decimal numbers converted to fractions and turned into percentages

Convert the decimal number 0.45 Oct 05 05:38 UTC (GMT)
Convert the integer number 111,237 Oct 05 05:38 UTC (GMT)
Convert the decimal number 99.8 Oct 05 05:38 UTC (GMT)
Convert the decimal number 37.0099 Oct 05 05:38 UTC (GMT)
Convert the integer number 62,175 Oct 05 05:38 UTC (GMT)
Convert the mixed repeating (recurring) decimal number 2.23 Oct 05 05:37 UTC (GMT)
Convert the decimal number 1,046.33335 Oct 05 05:36 UTC (GMT)
Convert the pure repeating (recurring) decimal number 0.032820061 Oct 05 05:36 UTC (GMT)
Convert the integer number 60,298 Oct 05 05:36 UTC (GMT)
Convert the decimal number 0.034 Oct 05 05:36 UTC (GMT)
All the integers, terminating and repeating (recurring) decimal numbers converted to fractions, mixed numbers and turned into percentages

Learn how to turn a decimal number into a fraction and a percentage. Steps.

1. How to write the number as a percentage:

  • Multiply the number by 100. Then add the percent sign, %.

2. How to write the number as a fraction:

  • Write down the number divided by 1, as a fraction.
  • Turn the top number into a whole number: multiply both the top and the bottom by the same number.
  • Reduce (simplify) the above fraction to the lowest terms, to its simplest equivalent form, irreducible. To reduce a fraction divide the numerator and the denominator by their greatest (highest) common factor (divisor), GCF.
  • If the fraction is an improper one, rewrite it as a mixed number (mixed fraction).
  • Calculate equivalent fractions. By expanding it we can build up equivalent fractions: multiply the numerator & the denominator by the same number.

More on ordinary (common) fractions / theory: