7/12

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

Rational
Irrational
Natural
Whole
Imaginary

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

Multiply top and bottom by 3

7 x 3
12 x 3

Multiply top and bottom by 4

7 x 4
12 x 4

Multiply top and bottom by 5

7 x 5
12 x 5

Multiply top and bottom by 6

7 x 6
12 x 6

Multiply top and bottom by 7

7 x 7
12 x 7

Multiply top and bottom by 8

7 x 8
12 x 8

Multiply top and bottom by 9

7 x 9
12 x 9

108

Multiply top and bottom by 10

7 x 10
12 x 10

120

Multiply top and bottom by 11

7 x 11
12 x 11

132

Multiply top and bottom by 12

7 x 12
12 x 12

144

Multiply top and bottom by 13

7 x 13
12 x 13

156

Multiply top and bottom by 14

7 x 14
12 x 14

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

Common Core State Standards In This Lesson

3.NF.A.2, 3.NF.A.3.C

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What 10 concepts are covered in the Fractions Calculator?

addition: 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