## Enter fraction(s) below:

##### Convert the mixed number

You entered the mixed number 3&3/6 for Fraction 1.
We need to convert this to an improper fraction.

##### The formula for this is:

 Fraction  = Denominator x Whole Number + Numerator Denominator

##### Evaluate using 3&3/6

The denominator = 6

The whole number = 3

The numerator = 3

##### Evaluate:

 Fraction  = (6 x 3) + 3 6

 Fraction  = 18 + 3 6

 Fraction  = 21 6

##### We want to get the quotient of the following 2 fractions:

 21 6
 ÷
 7 1

Let's take our 2 fractions and divide:

 a b
 ÷
 c d

Multiply by the reciprocal

 a x d b x c

a = 21,
b = 6,
c = 7,
d = 1, so we have:

 21 x 1 6 x 7

 21 42

##### Reduce our fraction

GCF(21 and 42) = 21

(1/21) x 21 = 1

(1/21) x 42 = 2

1/2

1/2
##### 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:
* 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
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?

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