## The executed operation (with ordinary fractions):

- ^{10}/_{26} × - ^{14}/_{14}

### Rewrite the equivalent simplified operation:

#### Combine the signs of the fractions into a single one, placed in front of the expression.

If the sign is +, it is no longer written.

#### - ^{10}/_{26} × - ^{14}/_{14} =

^{10}/_{26} × ^{14}/_{14}

### These fractions reduce each other, there are numerators and denominators of equal values:

#### Fraction: ^{14}/_{14} = 1

### Rewrite the equivalent simplified operation:

#### Multiplication by one (1) does not change the final result of the operation.

^{10}/_{26} × ^{14}/_{14} =

^{10}/_{26} × 1 =

^{10}/_{26}

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

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

#### Fraction: ^{10}/_{26} =

^{(2 × 5)}/_{(2 × 13)} =

^{((2 × 5) ÷ 2)}/_{((2 × 13) ÷ 2)} =

^{(2 ÷ 2 × 5)}/_{(2 ÷ 2 × 13)} =

^{(1 × 5)}/_{(1 × 13)} =

^{5}/_{13};

### Rewrite the equivalent simplified operation:

^{10}/_{26} =

^{5}/_{13}

## Rewrite the fraction

### As a decimal number:

^{5}/_{13} =

#### 5 ÷ 13 ≈

#### 0.384615384615 ≈

#### 0.38

### As a percentage:

#### 0.384615384615 =

#### 0.384615384615 × ^{100}/_{100} =

^{(0.384615384615 × 100)}/_{100} =

^{38.461538461538}/_{100} ≈

#### 38.461538461538% ≈

#### 38.46%

## The final answer:

:: written in three ways ::