Compare and sort in ascending order the two common ordinary fractions, which one is larger: ⁴²/₁₄ and ⁴⁶/₂₀. Common ordinary fractions compared and sorted in ascending order, result explained below

To compare and sort multiple fractions, they should either have the same denominator or the same numerator.

By reducing the values of the numerators and denominators of the fractions, further calculations with these fractions become easier to do.

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

Internal link » Reduce (simplify) common (ordinary) fractions to the lowest terms (to their simplest form equivalent), online calculator

⁴²/₁₄ = ^{(2 × 3 × 7)}/_{(2 × 7)} = ^{((2 × 3 × 7) ÷ (2 × 7))}/_{((2 × 7) ÷ (2 × 7))} = ³/₁ = 3

⁴⁶/₂₀ = ^{(2 × 23)}/_{(2² × 5)} = ^{((2 × 23) ÷ 2)}/_{((2² × 5) ÷ 2)} = ²³/₁₀

Expand the fraction that has 1 as a denominator.

Multiply the numerator and denominator by the same number:

3 = ^{(10 × 3)}/_{(10 × 1)} = ³⁰/₁₀

The larger the numerator the larger the positive fraction.

The larger the numerator the smaller the negative fraction.

How are the numbers written: comma ',' used as a thousands separator; point '.' as a decimal separator; numbers rounded off to max. 12 decimals (if the case). Used symbols: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.