## Executed (ordinary fractions) operation:

- 1 + ^{225}/_{4}

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

#### Fraction: ^{225}/_{4} already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:

225 = 3^{2} * 5^{2} and 4 = 2^{2};

### Rewrite improper fractions:

#### Fraction: ^{225}/_{4}

225 ÷ 4 = 56 and remainder = 1 =>

^{225}/_{4} = ^{(56 * 4 + 1)}/_{4} = 56 + ^{1}/_{4}

### Rewrite equivalent simplified operation:

#### - 1 + ^{225}/_{4} =

- 1 + 56 + ^{1}/_{4} =

55 + ^{1}/_{4}

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

#### ^{1}/_{4} already reduced to lowest terms, numerator and denominator have no common prime factors, their prime factorization:

1 cannot be prime factorized and 4 = 2^{2};

### Rewrite result:

#### 55 + ^{1}/_{4} = 55 ^{1}/_{4} as a mixed number (also called a mixed fraction).

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

55 + ^{1}/_{4} = ^{(55 * 4)}/_{4} + ^{1}/_{4} = ^{(55 * 4 + 1)}/_{4} = ^{221}/_{4} as an improper fraction.

####

#### 55 + 1 ÷ 4 = 55.25 as a decimal number.

## Final answer:

:: written in three ways ::