9/13

Show various properties and calculations for 9/13

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 9

Denominator = 13

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 9 < 13
9/13 is a(n) Proper fraction

Convert fraction to decimal

9/13 to decimal = 0.69230769230769

Long Division with Remainder

9/13 long division = 0 remainder 9

Click here for the math

Convert fraction to percentage

9/13 to percentage =	9 x 100%
	13

9/13 to percentage =	900
	13

9/13 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 13

Unit fraction =	1
	13

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	13
	9

Determine characteristics for 9/13

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 9/13 is a fraction, we use our long division decimal calculator to get 0.69230769230769

Natural Number Test

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

Since 0.69230769230769 is not both positive and a counting number, 0.69230769230769 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.69230769230769 is not >= 0 and an integer, 0.69230769230769 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.69230769230769 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 0.69230769230769 is an integer or decimal from above, 0.69230769230769 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 0.69230769230769 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF (9, 13) = 1

Multiply top and bottom by 2

9 x 2
13 x 2

Multiply top and bottom by 3

9 x 3
13 x 3

Multiply top and bottom by 4

9 x 4
13 x 4

Multiply top and bottom by 5

9 x 5
13 x 5

Multiply top and bottom by 6

9 x 6
13 x 6

Multiply top and bottom by 7

9 x 7
13 x 7

Multiply top and bottom by 8

9 x 8
13 x 8

104

Multiply top and bottom by 9

9 x 9
13 x 9

117

Multiply top and bottom by 10

9 x 10
13 x 10

130

Multiply top and bottom by 11

9 x 11
13 x 11

143

Multiply top and bottom by 12

9 x 12
13 x 12

108

156

Multiply top and bottom by 13

9 x 13
13 x 13

117

169

Multiply top and bottom by 14

9 x 14
13 x 14

126

182

Multiply top and bottom by 15

9 x 15
13 x 15

135

195

Multiply top and bottom by 16

9 x 16
13 x 16

144

208

Multiply top and bottom by 17

9 x 17
13 x 17

153

221

Multiply top and bottom by 18

9 x 18
13 x 18

162

234

Multiply top and bottom by 19

9 x 19
13 x 19

171

247

Multiply top and bottom by 20

9 x 20
13 x 20

180

260

Final Answer

Numerator = 9
Denominator = 13
9/13 is a(n) Proper fraction
9/13 to decimal = 0.69230769230769
9/13 long division = 0 remainder 9
9/13 to percentage = 69.230769230769%
Unit fraction = 1/13
Reciprocal = 13/9
9/13 is Rational
Equivalent Fraction = 18/26
Equivalent Fraction = 27/39
Equivalent Fraction = 36/52
Equivalent Fraction = 45/65
Equivalent Fraction = 54/78
Equivalent Fraction = 63/91
Equivalent Fraction = 72/104
Equivalent Fraction = 81/117
Equivalent Fraction = 90/130
Equivalent Fraction = 99/143
Equivalent Fraction = 108/156
Equivalent Fraction = 117/169
Equivalent Fraction = 126/182
Equivalent Fraction = 135/195
Equivalent Fraction = 144/208
Equivalent Fraction = 153/221
Equivalent Fraction = 162/234
Equivalent Fraction = 171/247
Equivalent Fraction = 180/260

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