## Enter fraction(s) below:

##### We want to add the following 2 fractions:

 1 5
 +
 6 7

Denominator 1 ≠ Denominator 2.
We need matching denominators

Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator

We add those 2 results, and get our numerator.
Our denominator is the product of the denominators of both fractions.

 Fraction 1 + Fraction 2  = Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1 Denominator 1 x Denominator 2

 Fraction 1 + Fraction 2  = 1 x 7 + 6 x 5 5 x 7

 Fraction 1 + Fraction 2  = 7 + 30 35

 Fraction 1 + Fraction 2  = 37 35

##### Check if simplified

This means our fraction has a Greatest Common Factor (GCF) = 1.

37/35

#### You have 2 free calculationss remaining

37/35
##### 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