 # Simplify 5/15 and 3/8

## Enter fraction(s) below:

 5 15

## First, evaluate the numerator and denominator

The numerator is 5
The denominator is 15

## Reduce our fraction

GCF(5 and 15) = 5

(1/5) x 5 = 1

## Reduce the denominator by GCF

(1/5) x 15 = 3

 1 3

You entered a fraction. We need to 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 5/15, let's evaluate:
Whole Number = 5 / 15 = 0.33333333333333
Whole Number = Integer(0.33333333333333)
Whole Number = 0

Now we find the fractional portion of the mixed number. The formula for that is:
 (Numerator - Denominator x Whole Number) Denominator

Using the values we entered and calculated, we get:
 Fraction Portion  = (5 - 15 x 0) 15

 Fraction Portion  = 5 - 0 15

 Fraction Portion  = 5 15

Now combine both pieces and piece together the mixed number:
Mixed Number = Whole Number & fraction Portion
Mixed Number = 0 & 5/15

1/3

### 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?

1. a/c + b/c = (a + b)/c
2. a/c - b/c = (a - b)/c
3. a/c * b/c = ab/c * c
5. 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