Show various properties and calculations for 8/1
Fraction properties, decimal, percentage, and related fraction items
Fraction Picture
8/1 = 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8
Analyze Fraction
Numerator = 8
Denominator = 1
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 8 > 1
8/1 is a(n) Improper fraction
Convert fraction to decimal
8/1 to decimal = 8
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(8/1)
Whole Portion = Int(8)
Whole Portion = 8
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 8 - (8 * 1)
Mixed Numerator Portion = 8 - 8
Mixed Numerator Portion = 0
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 8 & 0/1
Long Division with Remainder
8/1 long division = 8 remainder 0
Convert fraction to percentage
| 8/1 to percentage = | 8 x 100% |
| 1 |
| 8/1 to percentage = | 800 |
| 1 |
8/1 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 1
| Unit fraction = | 1 |
| 1 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 1 |
| 8 |
Determine characteristics for 8/1
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 8/1 is a fraction, we use our long division decimal calculator to get 8
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 8 is positive and a counting number, 8 is a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 8 >= 0 and it is an integer, 8 is a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
8 is an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 8 is an integer or decimal from above, 8 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 8 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
| 8 x 2 | |
| 1 x 2 |
| = |
| 16 |
| 2 |
Multiply top and bottom by 3
| 8 x 3 | |
| 1 x 3 |
| = |
| 24 |
| 3 |
Multiply top and bottom by 4
| 8 x 4 | |
| 1 x 4 |
| = |
| 32 |
| 4 |
Multiply top and bottom by 5
| 8 x 5 | |
| 1 x 5 |
| = |
| 40 |
| 5 |
Multiply top and bottom by 6
| 8 x 6 | |
| 1 x 6 |
| = |
| 48 |
| 6 |
Multiply top and bottom by 7
| 8 x 7 | |
| 1 x 7 |
| = |
| 56 |
| 7 |
Multiply top and bottom by 8
| 8 x 8 | |
| 1 x 8 |
| = |
| 64 |
| 8 |
Multiply top and bottom by 9
| 8 x 9 | |
| 1 x 9 |
| = |
| 72 |
| 9 |
Multiply top and bottom by 10
| 8 x 10 | |
| 1 x 10 |
| = |
| 80 |
| 10 |
Multiply top and bottom by 11
| 8 x 11 | |
| 1 x 11 |
| = |
| 88 |
| 11 |
Multiply top and bottom by 12
| 8 x 12 | |
| 1 x 12 |
| = |
| 96 |
| 12 |
Multiply top and bottom by 13
| 8 x 13 | |
| 1 x 13 |
| = |
| 104 |
| 13 |
Multiply top and bottom by 14
| 8 x 14 | |
| 1 x 14 |
| = |
| 112 |
| 14 |
Multiply top and bottom by 15
| 8 x 15 | |
| 1 x 15 |
| = |
| 120 |
| 15 |
Multiply top and bottom by 16
| 8 x 16 | |
| 1 x 16 |
| = |
| 128 |
| 16 |
Multiply top and bottom by 17
| 8 x 17 | |
| 1 x 17 |
| = |
| 136 |
| 17 |
Multiply top and bottom by 18
| 8 x 18 | |
| 1 x 18 |
| = |
| 144 |
| 18 |
Multiply top and bottom by 19
| 8 x 19 | |
| 1 x 19 |
| = |
| 152 |
| 19 |
Multiply top and bottom by 20
| 8 x 20 | |
| 1 x 20 |
| = |
| 160 |
| 20 |
Final Answer
Denominator = 1
8/1 is a(n) Improper fraction
8/1 to decimal = 8
8/1 long division = 8 remainder 0
8/1 to percentage = 800%
Unit fraction = 1/1
Reciprocal = 1/8
8/1 is Natural
8/1 is Whole
8/1 is Integer
8/1 is Rational
Equivalent Fraction = 16/2
Equivalent Fraction = 24/3
Equivalent Fraction = 32/4
Equivalent Fraction = 40/5
Equivalent Fraction = 48/6
Equivalent Fraction = 56/7
Equivalent Fraction = 64/8
Equivalent Fraction = 72/9
Equivalent Fraction = 80/10
Equivalent Fraction = 88/11
Equivalent Fraction = 96/12
Equivalent Fraction = 104/13
Equivalent Fraction = 112/14
Equivalent Fraction = 120/15
Equivalent Fraction = 128/16
Equivalent Fraction = 136/17
Equivalent Fraction = 144/18
Equivalent Fraction = 152/19
Equivalent Fraction = 160/20
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
