Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 99/12 and - 102/17. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 99/12 and - 102/17
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 99/12 and - 102/17
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.
- 99/12 = - (32 × 11)/(22 × 3) = - ((32 × 11) ÷ 3)/((22 × 3) ÷ 3) = - 33/4
- 102/17 = - (2 × 3 × 17)/17 = - ((2 × 3 × 17) ÷ 17)/(17 ÷ 17) = - 6/1 = - 6
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:
- 6 = - (4 × 6)/(4 × 1) = - 24/4
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:
- 33/4 < - 24/4
The initial fractions sorted in ascending order:
- 99/12 < - 102/17
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: