Sort the Common Fractions String ^{- 142}/₆₂, ^{- 110}/₇₇, ^{- 66}/₁₀₈, ^{- 70}/₁₁₉, ^{- 67}/₁₂₆, ^{- 68}/₁₁₇ in Ascending Order. Online Calculator

• 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

• The prime factorizations of the numerator and denominator:
• 142 = 2 × 71
• 62 = 2 × 31
• Multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponent (the lowest powers).
• GCF (142; 62) = 2

The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:

• 110 = 2 × 5 × 11
• 77 = 7 × 11
• GCF (110; 77) = 11

The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:

• 1) calculate their common denominator
• 2) then calculate the expanding number of each fraction
• 3) expand the fractions to equivalent forms having the same denominator

The common denominator is nothing else than the least common multiple (LCM) of the denominators of the fractions.

Multiply all the unique prime factors: if there are repeating prime factors we only take them once, and only the ones having the highest exponent (the highest powers).

• Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated above.
• This way all the fractions will have the same denominator:

• 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

• The prime factorizations of the numerator and denominator:
• 66 = 2 × 3 × 11
• 108 = 2² × 3³
• Multiply all the common prime factors: if there are repeating prime factors we only take them once, and only the ones having the lowest exponent (the lowest powers).
• GCF (66; 108) = 2 × 3 = 6

The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:

• 70 = 2 × 5 × 7
• 119 = 7 × 17
• GCF (70; 119) = 7

The fraction can also be reduced without calculating GCF; factor the numerator and denominator and cross out all the common prime factors:

• 67 is a prime number.
• 126 = 2 × 3² × 7
• GCF (67; 126) = 1

• 68 = 2² × 17
• 117 = 3² × 13
• GCF (68; 117) = 1

• 1) calculate their common denominator
• 2) then calculate the expanding number of each fraction
• 3) expand the fractions to equivalent forms having the same denominator

The common denominator is nothing else than the least common multiple (LCM) of the denominators of the fractions.

Multiply all the unique prime factors: if there are repeating prime factors we only take them once, and only the ones having the highest exponent (the highest powers).

• Expand each fraction: multiply both its numerator and denominator by its corresponding expanding number, calculated above.
• This way all the fractions will have the same denominator:

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.