### Simplify the operation

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

#### To reduce a fraction to the lowest terms equivalent: divide both the numerator and denominator by their greatest common factor, GCF.

^{3,016}/_{5,012} = ^{(23 × 13 × 29)}/_{(22 × 7 × 179)} = ^{((23 × 13 × 29) ÷ 22)}/_{((22 × 7 × 179) ÷ 22)} = ^{754}/_{1,253}

^{3,021}/_{5,017} is already reduced to the lowest terms.

The numerator and denominator have no common prime factors:

3,021 = 3 × 19 × 53

5,017 = 29 × 173

### Calculate the expanding number of each fraction:

#### Divide the LCM by the numerator of each fraction.

^{754}/_{1,253} : 2,277,834 ÷ 754 = (2 × 3 × 13 × 19 × 29 × 53) ÷ (2 × 13 × 29) = 3,021

^{3,021}/_{5,017} : 2,277,834 ÷ 3,021 = (2 × 3 × 13 × 19 × 29 × 53) ÷ (3 × 19 × 53) = 754

### Make the fractions' numerators the same:

#### Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated at the step 2, above.

#### This way all the fractions will have the same numerator:

^{754}/_{1,253} = ^{(3,021 × 754)}/_{(3,021 × 1,253)} = ^{2,277,834}/_{3,785,313}

^{3,021}/_{5,017} = ^{(754 × 3,021)}/_{(754 × 5,017)} = ^{2,277,834}/_{3,782,818}