Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 6/30 and - 13/34. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 6/30 and - 13/34
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 6/30 and - 13/34
Simplify the operation
Reduce (simplify) the fractions to their lowest terms equivalents:
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.
- 6/30 = - (2 × 3)/(2 × 3 × 5) = - ((2 × 3) ÷ (2 × 3))/((2 × 3 × 5) ÷ (2 × 3)) = - 1/5
- 13/34 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
13 is a prime number.
34 = 2 × 17
To compare and sort the fractions, make their numerators the same.
Expand the fraction that has 1 as a numerator.
Multiply the numerator and denominator by the same number:
- 1/5 = - (13 × 1)/(13 × 5) = - 13/65
The fractions have the same numerator, compare their denominators.
The larger the denominator the larger the negative fraction.
The larger the denominator the smaller the positive fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
- 13/34 < - 13/65
The initial fractions sorted in ascending order:
- 13/34 < - 6/30
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.
Other similar operations
Compare and sort common ordinary fractions, online calculator: