##### Enter Fraction:

Show various properties and calculations for 54/15

Fraction properties, decimal, percentage, and related fraction items

Numerator = 54

Denominator = 15

##### Classify Fraction

Proper Fractions have Numerator < Denominator

Imroper Fractions have Numerator > Denominator

Whole Fractions have Numerator = Denominator

Since 54 > 15
54/15 is a(n) Improper fraction

##### Convert fraction to decimal

54/15 to decimal = 3.6

##### Long Division with Remainder

54/15 long division = 3 remainder 9

##### Convert fraction to percentage

 54/15 to percentage   = 54 x 100% 15

 54/15 to percentage   = 5400 15

54/15 to percentage

##### Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 15

 Unit fraction  = 1 15

##### Calculate the fraction reciprocal

 Reciprocal  = Denominator Numerator

 Reciprocal  = 15 54

Determine characteristics for 54/15

• Rational
• Irrational
• Natural
• Whole
• Imaginary

##### Fraction Check

Since 54/15 is a fraction, we use our long division decimal calculator to get 3.6

##### Natural Number Test

Counting numbers > 0: 1,2,3,4,5,...

Since 3.6 is not both positive and a counting number, 3.6 is not a natural number

##### Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 3.6 is not >= 0 and an integer, 3.6 is not a whole number

##### Integer Test

Integers have no fractions or decimals

-5,-4,-3,-2,-1,0,1,2,3,4,5,...

3.6 is not an integer

##### Rational Number Test

Check for integer or decimal

Rationals = a/b

where a and b are integers<

and b ≠ 0.

Since 3.6 is an integer or decimal from above, 3.6 is also a rational

##### Irational Number Test

They do not form a ratio between two integers

They are not an imaginary number.

##### Imaginary Number Test

Test for square root of a negative

Since 3.6 is not the square root of a negative number, it is not imaginary

GCF(54, 15) = 3

##### Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 3

 54/3 15/3

 18 5

This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions

##### Multiply top and bottom by 2

 18 x 2 5 x 2
 =
 36 10

##### Multiply top and bottom by 3

 18 x 3 5 x 3
 =
 54 15

##### Multiply top and bottom by 4

 18 x 4 5 x 4
 =
 72 20

##### Multiply top and bottom by 5

 18 x 5 5 x 5
 =
 90 25

##### Multiply top and bottom by 6

 18 x 6 5 x 6
 =
 108 30

##### Multiply top and bottom by 7

 18 x 7 5 x 7
 =
 126 35

##### Multiply top and bottom by 8

 18 x 8 5 x 8
 =
 144 40

##### Multiply top and bottom by 9

 18 x 9 5 x 9
 =
 162 45

##### Multiply top and bottom by 10

 18 x 10 5 x 10
 =
 180 50

##### Multiply top and bottom by 11

 18 x 11 5 x 11
 =
 198 55

##### Multiply top and bottom by 12

 18 x 12 5 x 12
 =
 216 60

##### Multiply top and bottom by 13

 18 x 13 5 x 13
 =
 234 65

##### Multiply top and bottom by 14

 18 x 14 5 x 14
 =
 252 70

##### Multiply top and bottom by 15

 18 x 15 5 x 15
 =
 270 75

##### Multiply top and bottom by 16

 18 x 16 5 x 16
 =
 288 80

##### Multiply top and bottom by 17

 18 x 17 5 x 17
 =
 306 85

##### Multiply top and bottom by 18

 18 x 18 5 x 18
 =
 324 90

##### Multiply top and bottom by 19

 18 x 19 5 x 19
 =
 342 95

##### Multiply top and bottom by 20

 18 x 20 5 x 20
 =
 360 100

Numerator = 54
Denominator = 15
54/15 is a(n) Improper fraction
54/15 to decimal = 3.6
54/15 long division = 3 remainder 9
54/15 to percentage = 360%
Unit fraction = 1/15
Reciprocal = 15/54
54/15 is Rational
Equivalent Fraction = 36/10
Equivalent Fraction = 54/15
Equivalent Fraction = 72/20
Equivalent Fraction = 90/25
Equivalent Fraction = 108/30
Equivalent Fraction = 126/35
Equivalent Fraction = 144/40
Equivalent Fraction = 162/45
Equivalent Fraction = 180/50
Equivalent Fraction = 198/55
Equivalent Fraction = 216/60
Equivalent Fraction = 234/65
Equivalent Fraction = 252/70
Equivalent Fraction = 270/75
Equivalent Fraction = 288/80
Equivalent Fraction = 306/85
Equivalent Fraction = 324/90
Equivalent Fraction = 342/95
Equivalent Fraction = 360/100

##### How does the Fractions Calculator work?
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### What 10 concepts are covered in the Fractions Calculator?

math operation involving the sum of elements
denominator
The bottom portion of a fraction. For a/b, b is the denominator
division
separate a number into parts
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
mixed number
a number consisting of an integer and a proper fraction.
multiplication
math operation involving the product of elements
numerator
the number above the line in a common fraction
reciprocal
a number which when multiplied by x yields the multiplicative identity, 1
simplify
reducing the expression/fraction/problem in a simpler form.
subtraction
math operation involving the difference of elements