Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 59/9 and - 65/13. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 59/9 and - 65/13
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 59/9 and - 65/13
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.
- 59/9 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
59 is a prime number.
9 = 32
- 65/13 = - (5 × 13)/13 = - ((5 × 13) ÷ 13)/(13 ÷ 13) = - 5/1 = - 5
To compare and sort the fractions, make their denominators the same.
Expand the fraction that has 1 as a denominator.
Multiply the numerator and denominator by the same number:
- 5 = - (9 × 5)/(9 × 1) = - 45/9
The fractions have the same denominator, compare their numerators.
The larger the numerator the smaller the negative fraction.
The larger the numerator the larger the positive fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
- 59/9 < - 45/9
The initial fractions sorted in ascending order:
- 59/9 < - 65/13
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: