2/5

Show various properties and calculations for 2/5

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 2

Denominator = 5

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 2 < 5
2/5 is a(n) Proper fraction

Convert fraction to decimal

2/5 to decimal = 0.4

Long Division with Remainder

2/5 long division = 0 remainder 2

Click here for the math

Convert fraction to percentage

2/5 to percentage =	2 x 100%
	5

2/5 to percentage =	200
	5

2/5 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 5

Unit fraction =	1
	5

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	5
	2

Determine characteristics for 2/5

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 2/5 is a fraction, we use our long division decimal calculator to get 0.4

Natural Number Test

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

Since 0.4 is not both positive and a counting number, 0.4 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.4 is not >= 0 and an integer, 0.4 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.4 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 0.4 is an integer or decimal from above, 0.4 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 0.4 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF (2, 5) = 1

Multiply top and bottom by 2

2 x 2
5 x 2

Multiply top and bottom by 3

2 x 3
5 x 3

Multiply top and bottom by 4

2 x 4
5 x 4

Multiply top and bottom by 5

2 x 5
5 x 5

Multiply top and bottom by 6

2 x 6
5 x 6

Multiply top and bottom by 7

2 x 7
5 x 7

Multiply top and bottom by 8

2 x 8
5 x 8

Multiply top and bottom by 9

2 x 9
5 x 9

Multiply top and bottom by 10

2 x 10
5 x 10

Multiply top and bottom by 11

2 x 11
5 x 11

Multiply top and bottom by 12

2 x 12
5 x 12

Multiply top and bottom by 13

2 x 13
5 x 13

Multiply top and bottom by 14

2 x 14
5 x 14

Multiply top and bottom by 15

2 x 15
5 x 15

Multiply top and bottom by 16

2 x 16
5 x 16

Multiply top and bottom by 17

2 x 17
5 x 17

Multiply top and bottom by 18

2 x 18
5 x 18

Multiply top and bottom by 19

2 x 19
5 x 19

Multiply top and bottom by 20

2 x 20
5 x 20

100

Final Answer

Numerator = 2
Denominator = 5
2/5 is a(n) Proper fraction
2/5 to decimal = 0.4
2/5 long division = 0 remainder 2
2/5 to percentage = 40%
Unit fraction = 1/5
Reciprocal = 5/2
2/5 is Rational
Equivalent Fraction = 4/10
Equivalent Fraction = 6/15
Equivalent Fraction = 8/20
Equivalent Fraction = 10/25
Equivalent Fraction = 12/30
Equivalent Fraction = 14/35
Equivalent Fraction = 16/40
Equivalent Fraction = 18/45
Equivalent Fraction = 20/50
Equivalent Fraction = 22/55
Equivalent Fraction = 24/60
Equivalent Fraction = 26/65
Equivalent Fraction = 28/70
Equivalent Fraction = 30/75
Equivalent Fraction = 32/80
Equivalent Fraction = 34/85
Equivalent Fraction = 36/90
Equivalent Fraction = 38/95
Equivalent Fraction = 40/100

Common Core State Standards In This Lesson

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

How does the Fractions Calculator work?

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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

2/5