To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
33 and 39/5
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
39/5 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
39 = 3 × 13
5 is a prime number.
To compare and sort the fractions, build them up to the same denominator.
Expand the fraction that has 1 as a denominator.
Multiply the numerator and denominator by the same number:
33 = (5 × 33)/(5 × 1) = 165/5
The fractions have the same denominator, compare their numerators.
The larger the numerator the larger the positive fraction.
The larger the numerator the smaller the negative fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
39/5 < 165/5
The initial fractions sorted in ascending order:
39/5 < 33
How are the numbers being written on our website: comma ',' is used as a thousands separator; point '.' used as a decimal separator; numbers rounded off to max. 12 decimals (if the case). The set of the used symbols on our website: '/' the fraction bar; ÷ dividing; × multiplying; + plus (adding); - minus (subtracting); = equal; ≈ approximately equal.