Show various properties and calculations for 7/12

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

    
    
    
    
    
    
    
    
    
    
    
    

Analyze Fraction

Numerator = 7

Denominator = 12

Fraction on a Number Line (3.NF.A.2)

Classify Fraction

Proper Fractions have Numerator < Denominator

Imroper Fractions have Numerator > Denominator

Whole Fractions have Numerator = Denominator

Since 7 < 12
7/12 is a(n) Proper fraction

Convert fraction to decimal

7/12 to decimal = 0.58333333333333

Long Division with Remainder

7/12 long division = 0 remainder 7

Click here for the math

Convert fraction to percentage

7/12 to percentage   =  7 x 100%
  12

7/12 to percentage   =  700
  12

7/12 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 12

Unit fraction  =  1
  12

Calculate the fraction reciprocal

Reciprocal  =  Denominator
  Numerator

Reciprocal  =  12
  7

Determine characteristics for 7/12


Fraction Check

Since 7/12 is a fraction, we use our long division decimal calculator to get 0.58333333333333

Natural Number Test

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

Since 0.58333333333333 is not both positive and a counting number, 0.58333333333333 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.58333333333333 is not >= 0 and an integer, 0.58333333333333 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.58333333333333 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 0.58333333333333 is an integer or decimal from above, 0.58333333333333 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 0.58333333333333 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF (7, 12) = 1

Multiply top and bottom by 2

7 x 2
12 x 2
  =  
  
14
24

Multiply top and bottom by 3

7 x 3
12 x 3
  =  
  
21
36

Multiply top and bottom by 4

7 x 4
12 x 4
  =  
  
28
48

Multiply top and bottom by 5

7 x 5
12 x 5
  =  
  
35
60

Multiply top and bottom by 6

7 x 6
12 x 6
  =  
  
42
72

Multiply top and bottom by 7

7 x 7
12 x 7
  =  
  
49
84

Multiply top and bottom by 8

7 x 8
12 x 8
  =  
  
56
96

Multiply top and bottom by 9

7 x 9
12 x 9
  =  
  
63
108

Multiply top and bottom by 10

7 x 10
12 x 10
  =  
  
70
120

Multiply top and bottom by 11

7 x 11
12 x 11
  =  
  
77
132

Multiply top and bottom by 12

7 x 12
12 x 12
  =  
  
84
144

Multiply top and bottom by 13

7 x 13
12 x 13
  =  
  
91
156

Multiply top and bottom by 14

7 x 14
12 x 14
  =  
  
98
168

Multiply top and bottom by 15

7 x 15
12 x 15
  =  
  
105
180

Multiply top and bottom by 16

7 x 16
12 x 16
  =  
  
112
192

Multiply top and bottom by 17

7 x 17
12 x 17
  =  
  
119
204

Multiply top and bottom by 18

7 x 18
12 x 18
  =  
  
126
216

Multiply top and bottom by 19

7 x 19
12 x 19
  =  
  
133
228

Multiply top and bottom by 20

7 x 20
12 x 20
  =  
  
140
240

Final Answer


Numerator = 7
Denominator = 12
7/12 is a(n) Proper fraction
7/12 to decimal = 0.58333333333333
7/12 long division = 0 remainder 7
7/12 to percentage = 58.333333333333%
Unit fraction = 1/12
Reciprocal = 12/7
7/12 is Rational
Equivalent Fraction = 14/24
Equivalent Fraction = 21/36
Equivalent Fraction = 28/48
Equivalent Fraction = 35/60
Equivalent Fraction = 42/72
Equivalent Fraction = 49/84
Equivalent Fraction = 56/96
Equivalent Fraction = 63/108
Equivalent Fraction = 70/120
Equivalent Fraction = 77/132
Equivalent Fraction = 84/144
Equivalent Fraction = 91/156
Equivalent Fraction = 98/168
Equivalent Fraction = 105/180
Equivalent Fraction = 112/192
Equivalent Fraction = 119/204
Equivalent Fraction = 126/216
Equivalent Fraction = 133/228
Equivalent Fraction = 140/240