Enter fraction(s) below:



                 

Simplify and Evaluate the following fraction:

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

Reduce the denominator by GCF

(1/1) x 8 = 8

Build our reduced answer

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


Final Answer

455/8





What is the Answer?
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:
* 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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