Simplify 45/60 and 3/8

Enter fraction(s) below:

Simplify and Evaluate the following fraction:

45
60

First, evaluate the numerator and denominator

The numerator is 45
The denominator is 60

Reduce our fraction

GCF(45 and 60) = 15

Reduce the numerator by GCF

(1/15) x 45 = 3

Reduce the denominator by GCF

(1/15) x 60 = 4

Build our reduced answer

3
4

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 45/60, let's evaluate:
Whole Number = 45 / 60 = 0.75
Whole Number = Integer(0.75)
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 =	(45 - 60 x 0)
	60

Fraction Portion =	45 - 0
	60

Fraction Portion =	45
	60

Now combine both pieces and piece together the mixed number:
Mixed Number = Whole Number & fraction Portion
Mixed Number = 0 & 45/60

What is the Answer?

3/4

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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