Enter fraction(s) below:

 60 4

First, evaluate the numerator and denominator

The numerator is 60

The denominator is 4

Reduce our fraction

GCF(60 and 4) = 4

(1/4) x 60 = 15

(1/4) x 4 = 1

 15 1

Simplify the improper fraction:

Determine the integer of Numerator ÷ Denominator

Integer = 15 ÷ 1 = 15

Remainder = 15 - 15(1)

Remainder = 15 - 15

Remainder = 0

Build mixed fraction:

Integer & Remainder ÷ Original Denominator

15 & 0/1

Since our denominator is = 1, we simplify and just show the numerator as our answer → 15

15/1

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 60/4, let's evaluate:

Whole Number = 60 / 4 = 15

Whole Number = Integer(15)

Whole Number = 15

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  = (60 - 4 x 15) 4

 Fraction Portion  = 60 - 60 4

 Fraction Portion  = 0 4

Combine both pieces for the mixed number:

Mixed Number = Whole Number & fraction Portion

Mixed Number = 15 & 0/4

Mixed Number can also be written as 15 and 0/4

Write this as a whole number

Whole Number = 15

15/1

15/1
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