Show various properties and calculations for 300/10
Fraction properties, decimal, percentage, and related fraction items
Analyze Fraction
Numerator = 300
Denominator = 10
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 300 > 10
300/10 is a(n) Improper fraction
Convert fraction to decimal
300/10 to decimal = 30
Convert to a mixed fraction
Whole Portion = Int(Numerator/Denominator)
Whole Portion = Int(300/10)
Whole Portion = Int(30)
Whole Portion = 30
Mixed Numerator Portion = Numerator - (Whole * Denominator)
Mixed Numerator Portion = 300 - (30 * 10)
Mixed Numerator Portion = 300 - 300
Mixed Numerator Portion = 0
Mixed Number = Whole & Mixed Numerator/Denominator
Mixed Number = 30 & 0/10
Long Division with Remainder
300/10 long division = 30 remainder 0
Convert fraction to percentage
| 300/10 to percentage = | 300 x 100% |
| 10 |
| 300/10 to percentage = | 30000 |
| 10 |
300/10 to percentage
Calculate unit fraction
Unit fractions have 1 for the numerator
and we keep the original denominator of 10
| Unit fraction = | 1 |
| 10 |
Calculate the fraction reciprocal
| Reciprocal = | Denominator |
| Numerator |
| Reciprocal = | 10 |
| 300 |
Determine characteristics for 300/10
- Rational
- Irrational
- Natural
- Whole
- Imaginary
Fraction Check
Since 300/10 is a fraction, we use our long division decimal calculator to get 30
Natural Number Test
Counting numbers > 0: 1,2,3,4,5,...
Since 30 is positive and a counting number, 30 is a natural number
Whole Number Test
Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 30 >= 0 and it is an integer, 30 is a whole number
Integer Test
Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
30 is an integer
Rational Number Test
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 30 is an integer or decimal from above, 30 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 30 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 = 10
| 300/10 | |
| 10/10 |
| 30 | |
| 1 |
This is our first equivalent fraction, simplified. We use this fraction to build more equivalent fractions
Multiply top and bottom by 2
| 30 x 2 | |
| 1 x 2 |
| = |
| 60 |
| 2 |
Multiply top and bottom by 3
| 30 x 3 | |
| 1 x 3 |
| = |
| 90 |
| 3 |
Multiply top and bottom by 4
| 30 x 4 | |
| 1 x 4 |
| = |
| 120 |
| 4 |
Multiply top and bottom by 5
| 30 x 5 | |
| 1 x 5 |
| = |
| 150 |
| 5 |
Multiply top and bottom by 6
| 30 x 6 | |
| 1 x 6 |
| = |
| 180 |
| 6 |
Multiply top and bottom by 7
| 30 x 7 | |
| 1 x 7 |
| = |
| 210 |
| 7 |
Multiply top and bottom by 8
| 30 x 8 | |
| 1 x 8 |
| = |
| 240 |
| 8 |
Multiply top and bottom by 9
| 30 x 9 | |
| 1 x 9 |
| = |
| 270 |
| 9 |
Multiply top and bottom by 10
| 30 x 10 | |
| 1 x 10 |
| = |
| 300 |
| 10 |
Multiply top and bottom by 11
| 30 x 11 | |
| 1 x 11 |
| = |
| 330 |
| 11 |
Multiply top and bottom by 12
| 30 x 12 | |
| 1 x 12 |
| = |
| 360 |
| 12 |
Multiply top and bottom by 13
| 30 x 13 | |
| 1 x 13 |
| = |
| 390 |
| 13 |
Multiply top and bottom by 14
| 30 x 14 | |
| 1 x 14 |
| = |
| 420 |
| 14 |
Multiply top and bottom by 15
| 30 x 15 | |
| 1 x 15 |
| = |
| 450 |
| 15 |
Multiply top and bottom by 16
| 30 x 16 | |
| 1 x 16 |
| = |
| 480 |
| 16 |
Multiply top and bottom by 17
| 30 x 17 | |
| 1 x 17 |
| = |
| 510 |
| 17 |
Multiply top and bottom by 18
| 30 x 18 | |
| 1 x 18 |
| = |
| 540 |
| 18 |
Multiply top and bottom by 19
| 30 x 19 | |
| 1 x 19 |
| = |
| 570 |
| 19 |
Multiply top and bottom by 20
| 30 x 20 | |
| 1 x 20 |
| = |
| 600 |
| 20 |
Final Answer
Denominator = 10
300/10 is a(n) Improper fraction
300/10 to decimal = 30
300/10 long division = 30 remainder 0
300/10 to percentage = 3000%
Unit fraction = 1/10
Reciprocal = 10/300
300/10 is Natural
300/10 is Whole
300/10 is Integer
300/10 is Rational
Equivalent Fraction = 60/2
Equivalent Fraction = 90/3
Equivalent Fraction = 120/4
Equivalent Fraction = 150/5
Equivalent Fraction = 180/6
Equivalent Fraction = 210/7
Equivalent Fraction = 240/8
Equivalent Fraction = 270/9
Equivalent Fraction = 300/10
Equivalent Fraction = 330/11
Equivalent Fraction = 360/12
Equivalent Fraction = 390/13
Equivalent Fraction = 420/14
Equivalent Fraction = 450/15
Equivalent Fraction = 480/16
Equivalent Fraction = 510/17
Equivalent Fraction = 540/18
Equivalent Fraction = 570/19
Equivalent Fraction = 600/20
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
