Enter fraction(s) below:

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Simplify and Evaluate the following fraction:

First, evaluate the numerator and denominator

The numerator is 3

The denominator is 21

Reduce our fraction

GCF(3 and 21) = 3

Reduce the numerator by GCF

(1/3) x 3 = 1

Reduce the denominator by GCF

(1/3) x 21 = 7

Build our reduced answer

1/7

You have 1 free calculations remaining

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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 3/21, let's evaluate:

Whole Number = 3 / 21 = 0.14285714285714

Whole Number = Integer(0.14285714285714)

Whole Number = 0

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  =	(3 - 21 x 0)
	21

Fraction Portion  =	3 - 0
	21

Fraction Portion  =	3
	21

Combine both pieces for the mixed number:

Mixed Number = Whole Number & fraction Portion

Mixed Number = 0 & 3/21

Write this as a whole number

Whole Number = 0

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Final Answer

1/7

You have used up your free calculations

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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)/c
a/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?

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

Example calculations for the Fractions and Mixed Numbers Calculator

Fractions and Mixed Numbers Calculator Video

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