Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 891/21 and - 900/25. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 891/21 and - 900/25
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 891/21 and - 900/25
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.
- 891/21 = - (34 × 11)/(3 × 7) = - ((34 × 11) ÷ 3)/((3 × 7) ÷ 3) = - 297/7
- 900/25 = - (22 × 32 × 52)/52 = - ((22 × 32 × 52) ÷ 52)/(52 ÷ 52) = - 36/1 = - 36
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:
- 36 = - (7 × 36)/(7 × 1) = - 252/7
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:
- 297/7 < - 252/7
The initial fractions sorted in ascending order:
- 891/21 < - 900/25
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: