
Enter fraction(s) below:
Simplify and Evaluate the following fraction:
First, evaluate the numerator and denominator
The numerator is 600
The denominator is 3
Reduce our fraction
Reduce the numerator by GCF
(1/3) x 600 = 200
Reduce the denominator by GCF
(1/3) x 3 = 1
Build our reduced answer
Simplify the improper fraction:
Determine the integer of Numerator ÷ Denominator
Integer = 200 ÷ 1 = 200
Remainder = 200 - 200(1)
Remainder = 200 - 200
Remainder = 0
Build mixed fraction:
Integer & Remainder ÷ Original Denominator
200 & 0/1
Since our denominator is = 1, we simplify and just show the numerator as our answer → 200
200/1
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Convert this fraction number to a mixed number.
Let's find the whole number first.
The formula for this is:
Numerator/Denominator) in whole numbers
Using the fraction you entered of 600/3, let's evaluate:
Whole Number = 600 / 3 = 200
Whole Number = Integer(200)
Whole Number = 200
Find the fractional portion of the mixed number
(Numerator - Denominator x Whole Number) | |
Denominator |
Using the values we entered and calculated, we get:
Fraction Portion = | (600 - 3 x 200) |
3 |
Fraction Portion = | 600 - 600 |
3 |
Fraction Portion = | 0 |
3 |
Combine both pieces for the mixed number:
Mixed Number = Whole Number & fraction Portion
Mixed Number = 200 & 0/3
Mixed Number can also be written as 200 and 0/3
Write this as a whole number
Whole Number = 200
Final Answer
200/1
You have used up your free calculations
What is the Answer?
How does the Fractions and Mixed Numbers Calculator work?
Free Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
This calculator has 2 inputs.
What 8 formulas are used for the Fractions and Mixed Numbers Calculator?
a/c + b/c = (a + b)/ca/c - b/c = (a - b)/c
a/c * b/c = ab/c * c
a/b/c/d = ad/bc
Reciprocal of a/b = b/a
For more math formulas, check out our Formula Dossier
What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?
additionmath operation involving the sum of elementsdenominatorThe bottom portion of a fraction. For a/b, b is the denominatordivisionseparate a number into partsfractionhow many parts of a certain size exista/b where a is the numerator and b is the denominatormixed numbera number consisting of an integer and a proper fraction.multiplicationmath operation involving the product of elementsnumeratorthe number above the line in a common fractionreciprocala number which when multiplied by x yields the multiplicative identity, 1simplifyreducing the expression/fraction/problem in a simpler form.subtractionmath operation involving the difference of elements
Example calculations for the Fractions and Mixed Numbers Calculator
Fractions and Mixed Numbers Calculator Video
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