## Executed (ordinary fractions) operation:

6 - 2 + ^{3}/_{4}

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

#### Fraction: ^{3}/_{4} already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:

3 is a prime number and 4 = 2^{2};

### Rewrite equivalent simplified operation:

#### 6 - 2 + ^{3}/_{4} =

4 + ^{3}/_{4}

### Rewrite result:

#### 4 + ^{3}/_{4} = 4 ^{3}/_{4} as a mixed number (also called a mixed fraction).

Rewrite the mixed number (also called a mixed fraction) as an improper fraction:

4 + ^{3}/_{4} = ^{(4 * 4)}/_{4} + ^{3}/_{4} = ^{(4 * 4 + 3)}/_{4} = ^{19}/_{4} as an improper fraction.

####

#### 4 + 3 ÷ 4 = 4.75 as a decimal number.

## Final answer:

:: written in three ways ::