Show various properties and calculations for 54/15
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 54
Denominator = 15
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 54 > 15
54/15 is a(n) Improper fraction
Convert fraction to decimal
54/15 to decimal = 3.6
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(54/15)
Whole Portion = Int(3.6)
Whole Portion = 3
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 54 - (3 * 15)
Mixed Numerator Portion = 54 - 45
Mixed Numerator Portion = 9
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 3 & 9/15
Long Division with Remainder
54/15 long division = 3 remainder 9
Convert fraction to percentage
| 54/15 to percentage = | 54 x 100% |
| 15 |
| 54/15 to percentage = | 5400 |
| 15 |
54/15 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 15
| Unit fraction = | 1 |
| 15 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 15 |
| 54 |
Determine characteristics for 54/15
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 54/15 is a fraction, we use our long division decimal calculator to get 3.6
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 3.6 is not both positive and a counting number, 3.6 is not a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 3.6 is not >= 0 and an integer, 3.6 is not a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
3.6 is not an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 3.6 is an integer or decimal from above, 3.6 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 3.6 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 = 3
| 54/3 | |
| 15/3 |
| 18 | |
| 5 |
This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions
Multiply top and bottom by 2
| 18 x 2 | |
| 5 x 2 |
| = |
| 36 |
| 10 |
Multiply top and bottom by 3
| 18 x 3 | |
| 5 x 3 |
| = |
| 54 |
| 15 |
Multiply top and bottom by 4
| 18 x 4 | |
| 5 x 4 |
| = |
| 72 |
| 20 |
Multiply top and bottom by 5
| 18 x 5 | |
| 5 x 5 |
| = |
| 90 |
| 25 |
Multiply top and bottom by 6
| 18 x 6 | |
| 5 x 6 |
| = |
| 108 |
| 30 |
Multiply top and bottom by 7
| 18 x 7 | |
| 5 x 7 |
| = |
| 126 |
| 35 |
Multiply top and bottom by 8
| 18 x 8 | |
| 5 x 8 |
| = |
| 144 |
| 40 |
Multiply top and bottom by 9
| 18 x 9 | |
| 5 x 9 |
| = |
| 162 |
| 45 |
Multiply top and bottom by 10
| 18 x 10 | |
| 5 x 10 |
| = |
| 180 |
| 50 |
Multiply top and bottom by 11
| 18 x 11 | |
| 5 x 11 |
| = |
| 198 |
| 55 |
Multiply top and bottom by 12
| 18 x 12 | |
| 5 x 12 |
| = |
| 216 |
| 60 |
Multiply top and bottom by 13
| 18 x 13 | |
| 5 x 13 |
| = |
| 234 |
| 65 |
Multiply top and bottom by 14
| 18 x 14 | |
| 5 x 14 |
| = |
| 252 |
| 70 |
Multiply top and bottom by 15
| 18 x 15 | |
| 5 x 15 |
| = |
| 270 |
| 75 |
Multiply top and bottom by 16
| 18 x 16 | |
| 5 x 16 |
| = |
| 288 |
| 80 |
Multiply top and bottom by 17
| 18 x 17 | |
| 5 x 17 |
| = |
| 306 |
| 85 |
Multiply top and bottom by 18
| 18 x 18 | |
| 5 x 18 |
| = |
| 324 |
| 90 |
Multiply top and bottom by 19
| 18 x 19 | |
| 5 x 19 |
| = |
| 342 |
| 95 |
Multiply top and bottom by 20
| 18 x 20 | |
| 5 x 20 |
| = |
| 360 |
| 100 |
Final Answer
Denominator = 15
54/15 is a(n) Improper fraction
54/15 to decimal = 3.6
54/15 long division = 3 remainder 9
54/15 to percentage = 360%
Unit fraction = 1/15
Reciprocal = 15/54
54/15 is Rational
Equivalent Fraction = 36/10
Equivalent Fraction = 54/15
Equivalent Fraction = 72/20
Equivalent Fraction = 90/25
Equivalent Fraction = 108/30
Equivalent Fraction = 126/35
Equivalent Fraction = 144/40
Equivalent Fraction = 162/45
Equivalent Fraction = 180/50
Equivalent Fraction = 198/55
Equivalent Fraction = 216/60
Equivalent Fraction = 234/65
Equivalent Fraction = 252/70
Equivalent Fraction = 270/75
Equivalent Fraction = 288/80
Equivalent Fraction = 306/85
Equivalent Fraction = 324/90
Equivalent Fraction = 342/95
Equivalent Fraction = 360/100
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
