15/20

Show various properties and calculations for 15/20

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 15

Denominator = 20

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 15 < 20
15/20 is a(n) Proper fraction

Convert fraction to decimal

15/20 to decimal = 0.75

Long Division with Remainder

15/20 long division = 0 remainder 15

Click here for the math

Convert fraction to percentage

15/20 to percentage =	15 x 100%
	20

15/20 to percentage =	1500
	20

15/20 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 20

Unit fraction =	1
	20

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	20
	15

Determine characteristics for 15/20

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 15/20 is a fraction, we use our long division decimal calculator to get 0.75

Natural Number Test

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

Since 0.75 is not both positive and a counting number, 0.75 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.75 is not >= 0 and an integer, 0.75 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.75 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 0.75 is an integer or decimal from above, 0.75 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 0.75 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF(15, 20) = 5

Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 5

15/5
20/5

3
4

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

Multiply top and bottom by 2

3 x 2
4 x 2

Multiply top and bottom by 3

3 x 3
4 x 3

Multiply top and bottom by 4

3 x 4
4 x 4

Multiply top and bottom by 5

3 x 5
4 x 5

Multiply top and bottom by 6

3 x 6
4 x 6

Multiply top and bottom by 7

3 x 7
4 x 7

Multiply top and bottom by 8

3 x 8
4 x 8

Multiply top and bottom by 9

3 x 9
4 x 9

Multiply top and bottom by 10

3 x 10
4 x 10

Multiply top and bottom by 11

3 x 11
4 x 11

Multiply top and bottom by 12

3 x 12
4 x 12

Multiply top and bottom by 13

3 x 13
4 x 13

Multiply top and bottom by 14

3 x 14
4 x 14

Multiply top and bottom by 15

3 x 15
4 x 15

Multiply top and bottom by 16

3 x 16
4 x 16

Multiply top and bottom by 17

3 x 17
4 x 17

Multiply top and bottom by 18

3 x 18
4 x 18

Multiply top and bottom by 19

3 x 19
4 x 19

Multiply top and bottom by 20

3 x 20
4 x 20

Final Answer

Numerator = 15
Denominator = 20
15/20 is a(n) Proper fraction
15/20 to decimal = 0.75
15/20 long division = 0 remainder 15
15/20 to percentage = 75%
Unit fraction = 1/20
Reciprocal = 20/15
15/20 is Rational
Equivalent Fraction = 6/8
Equivalent Fraction = 9/12
Equivalent Fraction = 12/16
Equivalent Fraction = 15/20
Equivalent Fraction = 18/24
Equivalent Fraction = 21/28
Equivalent Fraction = 24/32
Equivalent Fraction = 27/36
Equivalent Fraction = 30/40
Equivalent Fraction = 33/44
Equivalent Fraction = 36/48
Equivalent Fraction = 39/52
Equivalent Fraction = 42/56
Equivalent Fraction = 45/60
Equivalent Fraction = 48/64
Equivalent Fraction = 51/68
Equivalent Fraction = 54/72
Equivalent Fraction = 57/76
Equivalent Fraction = 60/80

Common Core State Standards In This Lesson

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

How does the Fractions Calculator work?

Free Fractions Calculator - Calculates things like fraction to percent, fraction to decimal, unit fraction, ratios, and more
This calculator has 1 input.

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