90/204

Show various properties and calculations for 90/204

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 90

Denominator = 204

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 90 < 204
90/204 is a(n) Proper fraction

Convert fraction to decimal

90/204 to decimal = 0.44117647058824

Long Division with Remainder

90/204 long division = 0 remainder 90

Click here for the math

Convert fraction to percentage

90/204 to percentage =	90 x 100%
	204

90/204 to percentage =	9000
	204

90/204 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 204

Unit fraction =	1
	204

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	204
	90

Determine characteristics for 90/204

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 90/204 is a fraction, we use our long division decimal calculator to get 0.44117647058824

Natural Number Test

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

Since 0.44117647058824 is not both positive and a counting number, 0.44117647058824 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.44117647058824 is not >= 0 and an integer, 0.44117647058824 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.44117647058824 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 0.44117647058824 is an integer or decimal from above, 0.44117647058824 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 0.44117647058824 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF(90, 204) = 6

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 6

90/6
204/6

15
34

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

Multiply top and bottom by 2

15 x 2
34 x 2

Multiply top and bottom by 3

15 x 3
34 x 3

102

Multiply top and bottom by 4

15 x 4
34 x 4

136

Multiply top and bottom by 5

15 x 5
34 x 5

170

Multiply top and bottom by 6

15 x 6
34 x 6

204

Multiply top and bottom by 7

15 x 7
34 x 7

105

238

Multiply top and bottom by 8

15 x 8
34 x 8

120

272

Multiply top and bottom by 9

15 x 9
34 x 9

135

306

Multiply top and bottom by 10

15 x 10
34 x 10

150

340

Multiply top and bottom by 11

15 x 11
34 x 11

165

374

Multiply top and bottom by 12

15 x 12
34 x 12

180

408

Multiply top and bottom by 13

15 x 13
34 x 13

195

442

Multiply top and bottom by 14

15 x 14
34 x 14

210

476

Multiply top and bottom by 15

15 x 15
34 x 15

225

510

Multiply top and bottom by 16

15 x 16
34 x 16

240

544

Multiply top and bottom by 17

15 x 17
34 x 17

255

578

Multiply top and bottom by 18

15 x 18
34 x 18

270

612

Multiply top and bottom by 19

15 x 19
34 x 19

285

646

Multiply top and bottom by 20

15 x 20
34 x 20

300

680

Final Answer

Numerator = 90
Denominator = 204
90/204 is a(n) Proper fraction
90/204 to decimal = 0.44117647058824
90/204 long division = 0 remainder 90
90/204 to percentage = 44.117647058824%
Unit fraction = 1/204
Reciprocal = 204/90
90/204 is Rational
Equivalent Fraction = 30/68
Equivalent Fraction = 45/102
Equivalent Fraction = 60/136
Equivalent Fraction = 75/170
Equivalent Fraction = 90/204
Equivalent Fraction = 105/238
Equivalent Fraction = 120/272
Equivalent Fraction = 135/306
Equivalent Fraction = 150/340
Equivalent Fraction = 165/374
Equivalent Fraction = 180/408
Equivalent Fraction = 195/442
Equivalent Fraction = 210/476
Equivalent Fraction = 225/510
Equivalent Fraction = 240/544
Equivalent Fraction = 255/578
Equivalent Fraction = 270/612
Equivalent Fraction = 285/646
Equivalent Fraction = 300/680

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