4/6

Show various properties and calculations for 4/6

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 4

Denominator = 6

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 4 < 6
4/6 is a(n) Proper fraction

Convert fraction to decimal

4/6 to decimal = 0.66666666666667

Long Division with Remainder

4/6 long division = 0 remainder 4

Click here for the math

Convert fraction to percentage

4/6 to percentage =	4 x 100%
	6

4/6 to percentage =	400
	6

4/6 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 6

Unit fraction =	1
	6

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	6
	4

Determine characteristics for 4/6

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 4/6 is a fraction, we use our long division decimal calculator to get 0.66666666666667

Natural Number Test

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

Since 0.66666666666667 is not both positive and a counting number, 0.66666666666667 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.66666666666667 is not >= 0 and an integer, 0.66666666666667 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.66666666666667 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 0.66666666666667 is an integer or decimal from above, 0.66666666666667 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 0.66666666666667 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF(4, 6) = 2

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 2

4/2
6/2

2
3

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

Multiply top and bottom by 2

2 x 2
3 x 2

Multiply top and bottom by 3

2 x 3
3 x 3

Multiply top and bottom by 4

2 x 4
3 x 4

Multiply top and bottom by 5

2 x 5
3 x 5

Multiply top and bottom by 6

2 x 6
3 x 6

Multiply top and bottom by 7

2 x 7
3 x 7

Multiply top and bottom by 8

2 x 8
3 x 8

Multiply top and bottom by 9

2 x 9
3 x 9

Multiply top and bottom by 10

2 x 10
3 x 10

Multiply top and bottom by 11

2 x 11
3 x 11

Multiply top and bottom by 12

2 x 12
3 x 12

Multiply top and bottom by 13

2 x 13
3 x 13

Multiply top and bottom by 14

2 x 14
3 x 14

Multiply top and bottom by 15

2 x 15
3 x 15

Multiply top and bottom by 16

2 x 16
3 x 16

Multiply top and bottom by 17

2 x 17
3 x 17

Multiply top and bottom by 18

2 x 18
3 x 18

Multiply top and bottom by 19

2 x 19
3 x 19

Multiply top and bottom by 20

2 x 20
3 x 20

Final Answer

Numerator = 4
Denominator = 6
4/6 is a(n) Proper fraction
4/6 to decimal = 0.66666666666667
4/6 long division = 0 remainder 4
4/6 to percentage = 66.666666666667%
Unit fraction = 1/6
Reciprocal = 6/4
4/6 is Rational
Equivalent Fraction = 4/6
Equivalent Fraction = 6/9
Equivalent Fraction = 8/12
Equivalent Fraction = 10/15
Equivalent Fraction = 12/18
Equivalent Fraction = 14/21
Equivalent Fraction = 16/24
Equivalent Fraction = 18/27
Equivalent Fraction = 20/30
Equivalent Fraction = 22/33
Equivalent Fraction = 24/36
Equivalent Fraction = 26/39
Equivalent Fraction = 28/42
Equivalent Fraction = 30/45
Equivalent Fraction = 32/48
Equivalent Fraction = 34/51
Equivalent Fraction = 36/54
Equivalent Fraction = 38/57
Equivalent Fraction = 40/60

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

4/6