Compare and sort the fractions in ascending order: - 59/41, - 42/66, - 21/39. Common ordinary fractions compared and sorted in ascending order, result explained below
Sort: - 59/41, - 42/66, - 21/39
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of sorting fractions in ascending order:
- 59/41, - 42/66, - 21/39
Analyze the fractions to be compared and ordered, by category:
1 negative improper fraction: - 59/41
negative proper fractions: - 42/66, - 21/39
How to compare and sort the fractions in ascending order, by categories:
- any negative improper fraction is smaller than...
- any negative proper fraction.
Sort the negative proper fractions in ascending order:
- 42/66 and - 21/39
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.
- 42/66 = - (2 × 3 × 7)/(2 × 3 × 11) = - ((2 × 3 × 7) ÷ (2 × 3))/((2 × 3 × 11) ÷ (2 × 3)) = - 7/11
- 21/39 = - (3 × 7)/(3 × 13) = - ((3 × 7) ÷ 3)/((3 × 13) ÷ 3) = - 7/13
The fractions have the same numerator, compare their denominators.
This is one of the simplest cases when it comes to comparing and sorting fractions.
The larger the denominator the larger the negative fraction.
The larger the denominator the smaller the positive fraction.
The fractions sorted in ascending order:
- 7/11 < - 7/13
The initial fractions sorted in ascending order:
- 42/66 < - 21/39
::: The operation of comparing fractions :::
The final answer:
Sort the negative proper fractions in ascending order:
- 42/66 < - 21/39
All the fractions sorted in ascending order:
- 59/41 < - 42/66 < - 21/39
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: