Show various properties and calculations for 12/4
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 12
Denominator = 4
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 12 > 4
12/4 is a(n) Improper fraction
Convert fraction to decimal
12/4 to decimal = 3
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(12/4)
Whole Portion = Int(3)
Whole Portion = 3
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 12 - (3 * 4)
Mixed Numerator Portion = 12 - 12
Mixed Numerator Portion = 0
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 3 & 0/4
Long Division with Remainder
12/4 long division = 3 remainder 0
Convert fraction to percentage
| 12/4 to percentage = | 12 x 100% |
| 4 |
| 12/4 to percentage = | 1200 |
| 4 |
12/4 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 4
| Unit fraction = | 1 |
| 4 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 4 |
| 12 |
Determine characteristics for 12/4
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 12/4 is a fraction, we use our long division decimal calculator to get 3
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 3 is positive and a counting number, 3 is a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 3 >= 0 and it is an integer, 3 is a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
3 is an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 3 is an integer or decimal from above, 3 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 3 is not the square root of a negative number, it is not imaginary
Equivalent Fractions: Check if we can simplify our fraction
Since we have a GCF ≠ 1, we divide numerator and denominator by the GCF = 4
| 12/4 | |
| 4/4 |
| 3 | |
| 1 |
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 | |
| 1 x 2 |
| = |
| 6 |
| 2 |
Multiply top and bottom by 3
| 3 x 3 | |
| 1 x 3 |
| = |
| 9 |
| 3 |
Multiply top and bottom by 4
| 3 x 4 | |
| 1 x 4 |
| = |
| 12 |
| 4 |
Multiply top and bottom by 5
| 3 x 5 | |
| 1 x 5 |
| = |
| 15 |
| 5 |
Multiply top and bottom by 6
| 3 x 6 | |
| 1 x 6 |
| = |
| 18 |
| 6 |
Multiply top and bottom by 7
| 3 x 7 | |
| 1 x 7 |
| = |
| 21 |
| 7 |
Multiply top and bottom by 8
| 3 x 8 | |
| 1 x 8 |
| = |
| 24 |
| 8 |
Multiply top and bottom by 9
| 3 x 9 | |
| 1 x 9 |
| = |
| 27 |
| 9 |
Multiply top and bottom by 10
| 3 x 10 | |
| 1 x 10 |
| = |
| 30 |
| 10 |
Multiply top and bottom by 11
| 3 x 11 | |
| 1 x 11 |
| = |
| 33 |
| 11 |
Multiply top and bottom by 12
| 3 x 12 | |
| 1 x 12 |
| = |
| 36 |
| 12 |
Multiply top and bottom by 13
| 3 x 13 | |
| 1 x 13 |
| = |
| 39 |
| 13 |
Multiply top and bottom by 14
| 3 x 14 | |
| 1 x 14 |
| = |
| 42 |
| 14 |
Multiply top and bottom by 15
| 3 x 15 | |
| 1 x 15 |
| = |
| 45 |
| 15 |
Multiply top and bottom by 16
| 3 x 16 | |
| 1 x 16 |
| = |
| 48 |
| 16 |
Multiply top and bottom by 17
| 3 x 17 | |
| 1 x 17 |
| = |
| 51 |
| 17 |
Multiply top and bottom by 18
| 3 x 18 | |
| 1 x 18 |
| = |
| 54 |
| 18 |
Multiply top and bottom by 19
| 3 x 19 | |
| 1 x 19 |
| = |
| 57 |
| 19 |
Multiply top and bottom by 20
| 3 x 20 | |
| 1 x 20 |
| = |
| 60 |
| 20 |
Final Answer
Denominator = 4
12/4 is a(n) Improper fraction
12/4 to decimal = 3
12/4 long division = 3 remainder 0
12/4 to percentage = 300%
Unit fraction = 1/4
Reciprocal = 4/12
12/4 is Natural
12/4 is Whole
12/4 is Integer
12/4 is Rational
Equivalent Fraction = 6/2
Equivalent Fraction = 9/3
Equivalent Fraction = 12/4
Equivalent Fraction = 15/5
Equivalent Fraction = 18/6
Equivalent Fraction = 21/7
Equivalent Fraction = 24/8
Equivalent Fraction = 27/9
Equivalent Fraction = 30/10
Equivalent Fraction = 33/11
Equivalent Fraction = 36/12
Equivalent Fraction = 39/13
Equivalent Fraction = 42/14
Equivalent Fraction = 45/15
Equivalent Fraction = 48/16
Equivalent Fraction = 51/17
Equivalent Fraction = 54/18
Equivalent Fraction = 57/19
Equivalent Fraction = 60/20
Common Core State Standards In This Lesson
How does the Fractions Calculator work?
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
