5/10

Show various properties and calculations for 5/10

Fraction properties, decimal, percentage, and related fraction items

Fraction Picture

Analyze Fraction

Numerator = 5

Denominator = 10

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 5 < 10
5/10 is a(n) Proper fraction

Convert fraction to decimal

5/10 to decimal = 0.5

Long Division with Remainder

5/10 long division = 0 remainder 5

Click here for the math

Convert fraction to percentage

5/10 to percentage =	5 x 100%
	10

5/10 to percentage =	500
	10

5/10 to percentage

Calculate unit fraction

Unit fractions have 1 for the numerator
and we keep the original denominator of 10

Unit fraction =	1
	10

Calculate the fraction reciprocal

Reciprocal =	Denominator
	Numerator

Reciprocal =	10
	5

Determine characteristics for 5/10

Rational
Irrational
Natural
Whole
Imaginary

Fraction Check

Since 5/10 is a fraction, we use our long division decimal calculator to get 0.5

Natural Number Test

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

Since 0.5 is not both positive and a counting number, 0.5 is not a natural number

Whole Number Test

Whole Numbers are positive numbers

They include 0

They have no decimal or fractional parts

Since 0.5 is not >= 0 and an integer, 0.5 is not a whole number

Integer Test

Integers have no fractions or decimals

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

0.5 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 0.5 is an integer or decimal from above, 0.5 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 0.5 is not the square root of a negative number, it is not imaginary

Equivalent Fractions: Check if we can simplify our fraction

GCF(5, 10) = 5

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

5/5
10/5

1
2

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

Multiply top and bottom by 2

1 x 2
2 x 2

Multiply top and bottom by 3

1 x 3
2 x 3

Multiply top and bottom by 4

1 x 4
2 x 4

Multiply top and bottom by 5

1 x 5
2 x 5

Multiply top and bottom by 6

1 x 6
2 x 6

Multiply top and bottom by 7

1 x 7
2 x 7

Multiply top and bottom by 8

1 x 8
2 x 8

Multiply top and bottom by 9

1 x 9
2 x 9

Multiply top and bottom by 10

1 x 10
2 x 10

Multiply top and bottom by 11

1 x 11
2 x 11

Multiply top and bottom by 12

1 x 12
2 x 12

Multiply top and bottom by 13

1 x 13
2 x 13

Multiply top and bottom by 14

1 x 14
2 x 14

Multiply top and bottom by 15

1 x 15
2 x 15

Multiply top and bottom by 16

1 x 16
2 x 16

Multiply top and bottom by 17

1 x 17
2 x 17

Multiply top and bottom by 18

1 x 18
2 x 18

Multiply top and bottom by 19

1 x 19
2 x 19

Multiply top and bottom by 20

1 x 20
2 x 20

Final Answer

Numerator = 5
Denominator = 10
5/10 is a(n) Proper fraction
5/10 to decimal = 0.5
5/10 long division = 0 remainder 5
5/10 to percentage = 50%
Unit fraction = 1/10
Reciprocal = 10/5
5/10 is Rational
Equivalent Fraction = 2/4
Equivalent Fraction = 3/6
Equivalent Fraction = 4/8
Equivalent Fraction = 5/10
Equivalent Fraction = 6/12
Equivalent Fraction = 7/14
Equivalent Fraction = 8/16
Equivalent Fraction = 9/18
Equivalent Fraction = 10/20
Equivalent Fraction = 11/22
Equivalent Fraction = 12/24
Equivalent Fraction = 13/26
Equivalent Fraction = 14/28
Equivalent Fraction = 15/30
Equivalent Fraction = 16/32
Equivalent Fraction = 17/34
Equivalent Fraction = 18/36
Equivalent Fraction = 19/38
Equivalent Fraction = 20/40

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