Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 113/113 and - 123/119. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 113/113 and - 123/119
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 113/113 and - 123/119
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.
- 113/113 = - (113 ÷ 113)/(113 ÷ 113) = - 1/1 = - 1
- 123/119 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
123 = 3 × 41
119 = 7 × 17
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:
- 1 = - (119 × 1)/(119 × 1) = - 119/119
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:
- 123/119 < - 119/119
The initial fractions sorted in ascending order:
- 123/119 < - 113/113
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: