Show various properties and calculations for 8200/60
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 8200
Denominator = 60
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 8200 > 60
8200/60 is a(n) Improper fraction
Convert fraction to decimal
8200/60 to decimal = 136.66666666667
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(8200/60)
Whole Portion = Int(136.66666666667)
Whole Portion = 136
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 8200 - (136 * 60)
Mixed Numerator Portion = 8200 - 8160
Mixed Numerator Portion = 40
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 136 & 40/60
Long Division with Remainder
8200/60 long division = 136 remainder 40
Convert fraction to percentage
| 8200/60 to percentage = | 8200 x 100% |
| 60 |
| 8200/60 to percentage = | 820000 |
| 60 |
8200/60 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 60
| Unit fraction = | 1 |
| 60 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 60 |
| 8200 |
Determine characteristics for 8200/60
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 8200/60 is a fraction, we use our long division decimal calculator to get 136.66666666667
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 136.66666666667 is not both positive and a counting number, 136.66666666667 is not a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 136.66666666667 is not >= 0 and an integer, 136.66666666667 is not a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
136.66666666667 is not an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 136.66666666667 is an integer or decimal from above, 136.66666666667 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 136.66666666667 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 = 20
| 8200/20 | |
| 60/20 |
| 410 | |
| 3 |
This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions
Multiply top and bottom by 2
| 410 x 2 | |
| 3 x 2 |
| = |
| 820 |
| 6 |
Multiply top and bottom by 3
| 410 x 3 | |
| 3 x 3 |
| = |
| 1230 |
| 9 |
Multiply top and bottom by 4
| 410 x 4 | |
| 3 x 4 |
| = |
| 1640 |
| 12 |
Multiply top and bottom by 5
| 410 x 5 | |
| 3 x 5 |
| = |
| 2050 |
| 15 |
Multiply top and bottom by 6
| 410 x 6 | |
| 3 x 6 |
| = |
| 2460 |
| 18 |
Multiply top and bottom by 7
| 410 x 7 | |
| 3 x 7 |
| = |
| 2870 |
| 21 |
Multiply top and bottom by 8
| 410 x 8 | |
| 3 x 8 |
| = |
| 3280 |
| 24 |
Multiply top and bottom by 9
| 410 x 9 | |
| 3 x 9 |
| = |
| 3690 |
| 27 |
Multiply top and bottom by 10
| 410 x 10 | |
| 3 x 10 |
| = |
| 4100 |
| 30 |
Multiply top and bottom by 11
| 410 x 11 | |
| 3 x 11 |
| = |
| 4510 |
| 33 |
Multiply top and bottom by 12
| 410 x 12 | |
| 3 x 12 |
| = |
| 4920 |
| 36 |
Multiply top and bottom by 13
| 410 x 13 | |
| 3 x 13 |
| = |
| 5330 |
| 39 |
Multiply top and bottom by 14
| 410 x 14 | |
| 3 x 14 |
| = |
| 5740 |
| 42 |
Multiply top and bottom by 15
| 410 x 15 | |
| 3 x 15 |
| = |
| 6150 |
| 45 |
Multiply top and bottom by 16
| 410 x 16 | |
| 3 x 16 |
| = |
| 6560 |
| 48 |
Multiply top and bottom by 17
| 410 x 17 | |
| 3 x 17 |
| = |
| 6970 |
| 51 |
Multiply top and bottom by 18
| 410 x 18 | |
| 3 x 18 |
| = |
| 7380 |
| 54 |
Multiply top and bottom by 19
| 410 x 19 | |
| 3 x 19 |
| = |
| 7790 |
| 57 |
Multiply top and bottom by 20
| 410 x 20 | |
| 3 x 20 |
| = |
| 8200 |
| 60 |
Final Answer
Denominator = 60
8200/60 is a(n) Improper fraction
8200/60 to decimal = 136.66666666667
8200/60 long division = 136 remainder 40
8200/60 to percentage = 13666.666666667%
Unit fraction = 1/60
Reciprocal = 60/8200
8200/60 is Rational
Equivalent Fraction = 820/6
Equivalent Fraction = 1230/9
Equivalent Fraction = 1640/12
Equivalent Fraction = 2050/15
Equivalent Fraction = 2460/18
Equivalent Fraction = 2870/21
Equivalent Fraction = 3280/24
Equivalent Fraction = 3690/27
Equivalent Fraction = 4100/30
Equivalent Fraction = 4510/33
Equivalent Fraction = 4920/36
Equivalent Fraction = 5330/39
Equivalent Fraction = 5740/42
Equivalent Fraction = 6150/45
Equivalent Fraction = 6560/48
Equivalent Fraction = 6970/51
Equivalent Fraction = 7380/54
Equivalent Fraction = 7790/57
Equivalent Fraction = 8200/60
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
