Compare and sort the fractions in ascending order: ⁸/₃₂, ⁸/₁₅, ¹⁶/₅₄. 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.

positive proper fractions: ⁸/₃₂, ⁸/₁₅, ¹⁶/₅₄

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

⁸/₃₂ = ²³/_2⁵ = ^{(23 ÷ 23)}/_{(2⁵ ÷ 2³)} = ¹/₄

⁸/₁₅ is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
8 = 2³
15 = 3 × 5

¹⁶/₅₄ = ²⁴/_{(2 × 3³)} = ^{(24 ÷ 2)}/_{((2 × 3³) ÷ 2)} = ⁸/₂₇

Expand the fractions that have 1 as a numerator.

Multiply the numerator and denominator by the same number:

¹/₄ = ^{(8 × 1)}/_{(8 × 4)} = ⁸/₃₂

The larger the denominator the smaller the positive fraction.

The larger the denominator the larger 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.