Show various properties and calculations for 41/9
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 41
Denominator = 9
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 41 > 9
41/9 is a(n) Improper fraction
Convert fraction to decimal
41/9 to decimal = 4.5555555555556
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(41/9)
Whole Portion = Int(4.5555555555556)
Whole Portion = 4
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 41 - (4 * 9)
Mixed Numerator Portion = 41 - 36
Mixed Numerator Portion = 5
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 4 & 5/9
Long Division with Remainder
41/9 long division = 4 remainder 5
Convert fraction to percentage
| 41/9 to percentage = | 41 x 100% |
| 9 |
| 41/9 to percentage = | 4100 |
| 9 |
41/9 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 9
| Unit fraction = | 1 |
| 9 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 9 |
| 41 |
Determine characteristics for 41/9
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 41/9 is a fraction, we use our long division decimal calculator to get 4.5555555555556
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 4.5555555555556 is not both positive and a counting number, 4.5555555555556 is not a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 4.5555555555556 is not >= 0 and an integer, 4.5555555555556 is not a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
4.5555555555556 is not an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 4.5555555555556 is an integer or decimal from above, 4.5555555555556 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 4.5555555555556 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
| 41 x 2 | |
| 9 x 2 |
| = |
| 82 |
| 18 |
Multiply top and bottom by 3
| 41 x 3 | |
| 9 x 3 |
| = |
| 123 |
| 27 |
Multiply top and bottom by 4
| 41 x 4 | |
| 9 x 4 |
| = |
| 164 |
| 36 |
Multiply top and bottom by 5
| 41 x 5 | |
| 9 x 5 |
| = |
| 205 |
| 45 |
Multiply top and bottom by 6
| 41 x 6 | |
| 9 x 6 |
| = |
| 246 |
| 54 |
Multiply top and bottom by 7
| 41 x 7 | |
| 9 x 7 |
| = |
| 287 |
| 63 |
Multiply top and bottom by 8
| 41 x 8 | |
| 9 x 8 |
| = |
| 328 |
| 72 |
Multiply top and bottom by 9
| 41 x 9 | |
| 9 x 9 |
| = |
| 369 |
| 81 |
Multiply top and bottom by 10
| 41 x 10 | |
| 9 x 10 |
| = |
| 410 |
| 90 |
Multiply top and bottom by 11
| 41 x 11 | |
| 9 x 11 |
| = |
| 451 |
| 99 |
Multiply top and bottom by 12
| 41 x 12 | |
| 9 x 12 |
| = |
| 492 |
| 108 |
Multiply top and bottom by 13
| 41 x 13 | |
| 9 x 13 |
| = |
| 533 |
| 117 |
Multiply top and bottom by 14
| 41 x 14 | |
| 9 x 14 |
| = |
| 574 |
| 126 |
Multiply top and bottom by 15
| 41 x 15 | |
| 9 x 15 |
| = |
| 615 |
| 135 |
Multiply top and bottom by 16
| 41 x 16 | |
| 9 x 16 |
| = |
| 656 |
| 144 |
Multiply top and bottom by 17
| 41 x 17 | |
| 9 x 17 |
| = |
| 697 |
| 153 |
Multiply top and bottom by 18
| 41 x 18 | |
| 9 x 18 |
| = |
| 738 |
| 162 |
Multiply top and bottom by 19
| 41 x 19 | |
| 9 x 19 |
| = |
| 779 |
| 171 |
Multiply top and bottom by 20
| 41 x 20 | |
| 9 x 20 |
| = |
| 820 |
| 180 |
Final Answer
Denominator = 9
41/9 is a(n) Improper fraction
41/9 to decimal = 4.5555555555556
41/9 long division = 4 remainder 5
41/9 to percentage = 455.55555555556%
Unit fraction = 1/9
Reciprocal = 9/41
41/9 is Rational
Equivalent Fraction = 82/18
Equivalent Fraction = 123/27
Equivalent Fraction = 164/36
Equivalent Fraction = 205/45
Equivalent Fraction = 246/54
Equivalent Fraction = 287/63
Equivalent Fraction = 328/72
Equivalent Fraction = 369/81
Equivalent Fraction = 410/90
Equivalent Fraction = 451/99
Equivalent Fraction = 492/108
Equivalent Fraction = 533/117
Equivalent Fraction = 574/126
Equivalent Fraction = 615/135
Equivalent Fraction = 656/144
Equivalent Fraction = 697/153
Equivalent Fraction = 738/162
Equivalent Fraction = 779/171
Equivalent Fraction = 820/180
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
