 # Multiply 8/9 and 5/6

## Enter fraction(s) below:

## We want to multiply the following 2 fractions:

 8 9
 x
 5 6

Multiplying 2 fractions involves multiplying both numerators divided by both denominators.
 Numerator 1 x Numerator 2 Denominator 1 x Denominator 2

In this case, Numerator 1 = 8, Denominator 1 = 9, Numerator 2 = 5, Denominator 2 = 6, so we have:
 8 x 5 9 x 6

 40 54

Now that we have our preliminary answer, we need to reduce it down as much as possible.
From our GCF Calculator, we see that the highest number that reduces 40 and 54 down to an integer is 2.

This number, 2, is called our Greatest Common Factor (GCF), and will be used to reduce both numerator and denominator as seen below.

Reducing the numerator gives us: (1/2) x 40 = 20

Reducing the denominator gives us: (1/2) x 54 = 27

## Our answer is just the reduced numerator divided by the reduced denominator.

20/27

20/27

### How does the Fractions and Mixed Numbers Calculator work?

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