### Reduce (simplify) fractions to their lowest terms equivalents:

#### Factor all the numbers in order to easily reduce (simplify) the end fraction.

#### Fraction: ^{13}/_{9} already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

13 is a prime number, it cannot be factored into other prime factors;

9 = 3^{2};

#### Fraction: ^{44}/_{6} =

^{(22 × 11)}/_{(2 × 3)} =

^{((22 × 11) ÷ 2)}/_{((2 × 3) ÷ 2)} =

^{(22 ÷ 2 × 11)}/_{(2 ÷ 2 × 3)} =

^{(2(2 - 1) × 11)}/_{(1 × 3)} =

^{(21 × 11)}/_{(1 × 3)} =

^{(2 × 11)}/_{(1 × 3)} =

^{22}/_{3};

### Rewrite the equivalent simplified operation:

#### - ^{13}/_{9} × ^{44}/_{6} =

#### - ^{13}/_{9} × ^{22}/_{3}

### Multiply the numerators and denominators of the fractions separately:

#### Factor all the numbers in order to easily reduce (simplify) the end fraction.

#### - ^{13}/_{9} × ^{22}/_{3} =

#### - ^{(13 × 22)} / _{(9 × 3)} =

#### - ^{(13 × 2 × 11)} / _{(32 × 3)} =

#### - ^{(2 × 11 × 13)} / _{33}

## Reduce (simplify) the fraction to its lowest terms equivalent:

### Calculate the greatest common factor, GCF:

#### Multiply all the common prime factors, by the lowest exponents.

#### But, the numerator and denominator have no common factors.

#### gcf(2 × 11 × 13; 3^{3}) = 1

### Divide the numerator and denominator by GCF.

#### The numerator and denominator of the fraction are coprime numbers (no common prime factors, GCF = 1). The fraction cannot be reduced (simplified): irreducible fraction.

#### - ^{(2 × 11 × 13)} / _{33} =

#### - ^{286}/_{27}

## Rewrite the fraction

### As a mixed number (also called a mixed fraction):

#### Mixed number = a whole number and a proper fraction, of the same sign.

#### Proper fraction = numerator smaller than denominator.

#### - 286 ÷ 27 = - 10 and remainder = - 16 =>

#### - 286 = - 10 × 27 - 16 =>

#### - ^{286}/_{27} =

^{( - 10 × 27 - 16)}/_{27} =

^{( - 10 × 27)}/_{27} - ^{16}/_{27} =

#### - 10 - ^{16}/_{27} =

#### - 10 ^{16}/_{27}

### As a decimal number:

#### - 10 - ^{16}/_{27} =

#### - 10 - 16 ÷ 27 ≈

#### - 10.592592592593 ≈

#### - 10.59

### As a percentage:

#### - 10.592592592593 =

#### - 10.592592592593 × ^{100}/_{100} =

^{( - 10.592592592593 × 100)}/_{100} =

^{ - 1,059.259259259259}/_{100} ≈

#### - 1,059.259259259259% ≈

#### - 1,059.26%

## The final answer:

:: written in four ways ::