Show various properties and calculations for 50/3
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 50
Denominator = 3
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 50 > 3
50/3 is a(n) Improper fraction
Convert fraction to decimal
50/3 to decimal = 16.666666666667
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(50/3)
Whole Portion = Int(16.666666666667)
Whole Portion = 16
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 50 - (16 * 3)
Mixed Numerator Portion = 50 - 48
Mixed Numerator Portion = 2
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 16 & 2/3
Long Division with Remainder
50/3 long division = 16 remainder 2
Convert fraction to percentage
| 50/3 to percentage = | 50 x 100% |
| 3 |
| 50/3 to percentage = | 5000 |
| 3 |
50/3 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 3
| Unit fraction = | 1 |
| 3 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 3 |
| 50 |
Determine characteristics for 50/3
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 50/3 is a fraction, we use our long division decimal calculator to get 16.666666666667
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 16.666666666667 is not both positive and a counting number, 16.666666666667 is not a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 16.666666666667 is not >= 0 and an integer, 16.666666666667 is not a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
16.666666666667 is not an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 16.666666666667 is an integer or decimal from above, 16.666666666667 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 16.666666666667 is not the square root of a negative number, it is not imaginary
Equivalent Fractions: Check if we can simplify our fraction
Multiply top and bottom by 2
| 50 x 2 | |
| 3 x 2 |
| = |
| 100 |
| 6 |
Multiply top and bottom by 3
| 50 x 3 | |
| 3 x 3 |
| = |
| 150 |
| 9 |
Multiply top and bottom by 4
| 50 x 4 | |
| 3 x 4 |
| = |
| 200 |
| 12 |
Multiply top and bottom by 5
| 50 x 5 | |
| 3 x 5 |
| = |
| 250 |
| 15 |
Multiply top and bottom by 6
| 50 x 6 | |
| 3 x 6 |
| = |
| 300 |
| 18 |
Multiply top and bottom by 7
| 50 x 7 | |
| 3 x 7 |
| = |
| 350 |
| 21 |
Multiply top and bottom by 8
| 50 x 8 | |
| 3 x 8 |
| = |
| 400 |
| 24 |
Multiply top and bottom by 9
| 50 x 9 | |
| 3 x 9 |
| = |
| 450 |
| 27 |
Multiply top and bottom by 10
| 50 x 10 | |
| 3 x 10 |
| = |
| 500 |
| 30 |
Multiply top and bottom by 11
| 50 x 11 | |
| 3 x 11 |
| = |
| 550 |
| 33 |
Multiply top and bottom by 12
| 50 x 12 | |
| 3 x 12 |
| = |
| 600 |
| 36 |
Multiply top and bottom by 13
| 50 x 13 | |
| 3 x 13 |
| = |
| 650 |
| 39 |
Multiply top and bottom by 14
| 50 x 14 | |
| 3 x 14 |
| = |
| 700 |
| 42 |
Multiply top and bottom by 15
| 50 x 15 | |
| 3 x 15 |
| = |
| 750 |
| 45 |
Multiply top and bottom by 16
| 50 x 16 | |
| 3 x 16 |
| = |
| 800 |
| 48 |
Multiply top and bottom by 17
| 50 x 17 | |
| 3 x 17 |
| = |
| 850 |
| 51 |
Multiply top and bottom by 18
| 50 x 18 | |
| 3 x 18 |
| = |
| 900 |
| 54 |
Multiply top and bottom by 19
| 50 x 19 | |
| 3 x 19 |
| = |
| 950 |
| 57 |
Multiply top and bottom by 20
| 50 x 20 | |
| 3 x 20 |
| = |
| 1000 |
| 60 |
Final Answer
Denominator = 3
50/3 is a(n) Improper fraction
50/3 to decimal = 16.666666666667
50/3 long division = 16 remainder 2
50/3 to percentage = 1666.6666666667%
Unit fraction = 1/3
Reciprocal = 3/50
50/3 is Rational
Equivalent Fraction = 100/6
Equivalent Fraction = 150/9
Equivalent Fraction = 200/12
Equivalent Fraction = 250/15
Equivalent Fraction = 300/18
Equivalent Fraction = 350/21
Equivalent Fraction = 400/24
Equivalent Fraction = 450/27
Equivalent Fraction = 500/30
Equivalent Fraction = 550/33
Equivalent Fraction = 600/36
Equivalent Fraction = 650/39
Equivalent Fraction = 700/42
Equivalent Fraction = 750/45
Equivalent Fraction = 800/48
Equivalent Fraction = 850/51
Equivalent Fraction = 900/54
Equivalent Fraction = 950/57
Equivalent Fraction = 1000/60
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
