## The executed operation (with ordinary fractions):

- ^{19}/_{56} × ^{85}/_{16}

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

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

#### Fraction: ^{19}/_{56} already reduced to the lowest terms.

The numerator and the denominator have no common prime factors.

Their prime factorization:

19 is a prime number;

56 = 2^{3} × 7;

#### Fraction: ^{85}/_{16} already reduced to the lowest terms.

The numerator and the denominator have no common prime factors.

Their prime factorization:

85 = 5 × 17;

16 = 2^{4};

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

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

#### - ^{19}/_{56} × ^{85}/_{16} =

#### - ^{(19 × 85)} / _{(56 × 16)} =

#### - ^{(19 × 5 × 17)} / _{(23 × 7 × 24)} =

#### - ^{(5 × 17 × 19)} / _{(27 × 7)}

## Reduce (simplify) 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 the denominator have no common factors

#### gcf(5 × 17 × 19; 2^{7} × 7) = 1

### Divide the numerator and the denominator by GCF.

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

#### - ^{(5 × 17 × 19)} / _{(27 × 7)} =

#### - ^{1,615}/_{896}

## 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.

#### - 1,615 ÷ 896 = - 1 and remainder = - 719 =>

#### - 1,615 = - 1 × 896 - 719 =>

#### - ^{1,615}/_{896} =

^{( - 1 × 896 - 719)}/_{896} =

^{( - 1 × 896)}/_{896} - ^{719}/_{896} =

#### - 1 - ^{719}/_{896} =

#### - 1 ^{719}/_{896}

### As a decimal number:

#### - 1 - ^{719}/_{896} =

#### - 1 - 719 ÷ 896 ≈

#### - 1.802455357143 ≈

#### - 1.8

### As a percentage:

#### - 1.802455357143 =

#### - 1.802455357143 × ^{100}/_{100} =

^{( - 1.802455357143 × 100)}/_{100} =

^{ - 180.245535714286}/_{100} ≈

#### - 180.245535714286% ≈

#### - 180.25%

## The final answer:

:: written in four ways ::