Compare and sort in ascending order the two common ordinary fractions, which one is larger: - 1/256 and - 4/258. Common ordinary fractions compared and sorted in ascending order, result explained below
Compare: - 1/256 and - 4/258
To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
- 1/256 and - 4/258
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.
- 1/256 is already reduced to the lowest terms.
The numerator and denominator have no common prime factors:
1 cannot be factored into other prime factors.
256 = 28
- 4/258 = - 22/(2 × 3 × 43) = - (22 ÷ 2)/((2 × 3 × 43) ÷ 2) = - 2/129
To compare and sort the fractions, make their numerators the same.
Expand the fraction that has 1 as a numerator.
Multiply the numerator and denominator by the same number:
- 1/256 = - (2 × 1)/(2 × 256) = - 2/512
The fractions have the same numerator, compare their denominators.
The larger the denominator the larger the negative fraction.
The larger the denominator the smaller the positive fraction.
::: The operation of comparing fractions :::
The final answer:
The fractions sorted in ascending order:
- 2/129 < - 2/512
The initial fractions sorted in ascending order:
- 4/258 < - 1/256
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: