## Enter fraction(s) below:

 455 8

##### First, evaluate the numerator and denominator

The numerator is 455

The denominator is 8

##### Reduce our fraction

GCF(455 and 8) = 1

##### Reduce the numerator by GCF

(1/1) x 455 = 455

(1/1) x 8 = 8

 455 8

##### Simplify the improper fraction:

Determine the integer of Numerator ÷ Denominator

Integer = 455 ÷ 8 = 56

Remainder = 455 - 56(8)

Remainder = 455 - 448

Remainder = 7

##### Build mixed fraction:

Integer & Remainder ÷ Original Denominator

56 & 7/8

455/8

##### 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 455/8, let's evaluate:

Whole Number = 455 / 8 = 56.875

Whole Number = Integer(56.875)

Whole Number = 56

##### 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  = (455 - 8 x 56) 8

 Fraction Portion  = 455 - 448 8

 Fraction Portion  = 7 8

##### Combine both pieces for the mixed number:

Mixed Number = Whole Number & fraction Portion

Mixed Number = 56 & 7/8

Mixed Number can also be written as 56 and 7/8

##### Write this as a whole number

Whole Number = 56

455/8

455/8
##### 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